https://peda.net/id/eae050c4bbe 2018-09-19T11:06:31+03:00 https://peda.net/:static/532/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/6c5198bcd8f 2018-10-26T10:40:34+03:00 <img src="https://math-demo.abitti.fi/math.svg?latex=n%E2%80%99(t)%3D%E2%88%922%7B%2C%7D1%5Ccdot3t%5E2%2B37%5Ccdot2t%E2%88%92155%5Ccdot1%2B0%3D%E2%88%926%7B%2C%7D3t%2B74t%E2%88%92155" alt="n’(t)=−2{,}1\cdot3t^2+37\cdot2t−155\cdot1+0=−6{,}3t+74t−155"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%E2%88%926%7B%2C%7D3t%5E2%2B74t%E2%88%92155%3D0" alt="−6{,}3t^2+74t−155=0"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=n(0)%3D%E2%88%922%7B%2C%7D1%E2%8B%8503%2B37%E2%8B%8502%E2%88%92155%E2%8B%850%2B830%3D830" alt="n(0)=−2{,}1⋅03+37⋅02−155⋅0+830=830"/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n(2%7B%2C%7D728%5Cdots)%3D%E2%88%922%7B%2C%7D1%5Ccdot2%7B%2C%7D728%5Cdots3%2B37%5Ccdot2%7B%2C%7D728%5Cdots2%E2%88%92155%5Ccdot2%7B%2C%7D728%5Cdots%2B830%3D639%7B%2C%7D879%5Cdots%5Capprox640" alt="n(2{,}728\dots)=−2{,}1\cdot2{,}728\dots3+37\cdot2{,}728\dots2−155\cdot2{,}728\dots+830=639{,}879\dots\approx640"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=n(9%7B%2C%7D017%5Cdots)%3D%E2%88%922%7B%2C%7D1%5Ccdot9%7B%2C%7D017%5Cdots3%2B37%5Ccdot9%7B%2C%7D017%5Cdots2%E2%88%92155%5Ccdot9%7B%2C%7D017%5Cdots%2B830%3D901%7B%2C%7D106%5Cdots%5Capprox900" alt="n(9{,}017\dots)=−2{,}1\cdot9{,}017\dots3+37\cdot9{,}017\dots2−155\cdot9{,}017\dots+830=901{,}106\dots\approx900"/><br/> <div> <img src="https://math-demo.abitti.fi/math.svg?latex=n%5Cleft(10%5Cright)%3D%E2%88%922%7B%2C%7D1%5Ccdot103%2B37%5Ccdot102%E2%88%92155%5Ccdot10%2B830%3D880" alt="n\left(10\right)=−2{,}1\cdot103+37\cdot102−155\cdot10+830=880"/></div> <br/> V: 640-900 lintua</div> 2018-10-26T10:40:34+03:00 https://peda.net/id/25833248d68 2018-10-23T09:44:53+03:00 <div>A,</div> <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%3D4%5C%20joten%5C%20ei%5C%20nollakohtia" alt="f'\left(x\right)=4\ joten\ ei\ nollakohtia"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f(%E2%88%923)%3D4%5Ccdot(%E2%88%923)%2B7%3D%E2%88%9212%2B7%3D%E2%88%925" alt="f(−3)=4\cdot(−3)+7=−12+7=−5"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=f(3)%3D4%E2%8B%853%2B7%3D12%2B7%3D19" alt="f(3)=4⋅3+7=12+7=19"/><br/> <div> </div> <div>V:Suurin 19 ja pienin -5</div> <div> </div> <div>B,</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%E2%80%B2(x)%3D%E2%88%923x%5E2%2B6x" alt="f′(x)=−3x^2+6x"/></div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=-3x%5E2%2B6x%3D0" alt="-3x^2+6x=0"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B-6%5C%20%5Cpm%5Csqrt%7B6%5E2-4%5Ccdot%5Cleft(-3%5Cright)%5Ccdot0%7D%7D%7B2%5Ccdot%5Cleft(-3%5Cright)%7D" alt="x=\frac{-6\ \pm\sqrt{6^2-4\cdot\left(-3\right)\cdot0}}{2\cdot\left(-3\right)}"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B-6%5Cpm6%7D%7B-6%7D" alt="\frac{-6\pm6}{-6}"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D0%5C%20tai%5C%20x%3D-2" alt="x=0\ tai\ x=-2"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f(%E2%88%921)%3D%E2%88%92(%E2%88%921)%5E3%2B3%5Ccdot(%E2%88%921)%5E2%3D%E2%88%92(%E2%88%921)%2B3%5Ccdot1%3D1%2B3%3D4" alt="f(−1)=−(−1)^3+3\cdot(−1)^2=−(−1)+3\cdot1=1+3=4"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=f(0)%3D%E2%88%920%5E3%2B3%5Ccdot0%5E2%3D0" alt="f(0)=−0^3+3\cdot0^2=0"/><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f(2)%3D%E2%88%922%5E3%2B3%5Ccdot2%5E2%3D%E2%88%928%2B3%5Ccdot4%3D%E2%88%928%2B12%3D4" alt="f(2)=−2^3+3\cdot2^2=−8+3\cdot4=−8+12=4"/></div> <br/> <div>V: Suurin 4 ja pienin 0</div> 2018-10-23T09:44:53+03:00 https://peda.net/id/ca524eb8cc7 2018-10-10T13:18:11+03:00 402<br/> <span>a,</span> <div><img src="https://math-demo.abitti.fi/math.svg?latex=2x%2B2%3D0" alt="2x+2=0"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=2x%3D-2" alt="2x=-2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D-1" alt="x=-1"/><br/> <div> </div> <div>b, </div> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(-3%5Cright)%3D%5Cleft(-3%5Cright)%5E2%2B2%5Ccdot%5Cleft(-3%5Cright)%3D-3" alt="f\left(-3\right)=\left(-3\right)^2+2\cdot\left(-3\right)=-3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(-1%5Cright)%3D%5Cleft(-1%5Cright)%5E2%2B2%5Ccdot%5Cleft(-1%5Cright)-6%3D-7" alt="f\left(-1\right)=\left(-1\right)^2+2\cdot\left(-1\right)-6=-7"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(2%5Cright)%3D2%5E2%2B2%5Ccdot2-6%3D2" alt="f\left(2\right)=2^2+2\cdot2-6=2"/><br/> <div> </div> <div>suurin arvo 2, pienin -7 välillä [-3,2]</div> <br/> <br/> 2018-10-10T13:18:11+03:00 https://peda.net/id/9fb0b438cb8 2018-10-09T09:50:35+03:00 A, B, 2018-10-09T09:50:35+03:00 https://peda.net/id/7e48e532cb8 2018-10-09T09:42:29+03:00 B, C 2018-10-09T09:42:29+03:00 https://peda.net/id/7954ff30cb8 2018-10-09T09:35:12+03:00 B ja C 2018-10-09T09:35:12+03:00 https://peda.net/id/4553dcbacb8 2018-10-09T09:33:44+03:00 A,D 2018-10-09T09:33:44+03:00 https://peda.net/id/ff386404cb8 2018-10-09T09:24:37+03:00 A, C 2018-10-09T09:24:37+03:00 https://peda.net/id/ed84c80ccb8 2018-10-09T09:16:58+03:00 a. oikein<br/> b. väärin<br/> c. väärin, 0<br/> d. oikein<br/> <br/> 2018-10-09T09:16:58+03:00 https://peda.net/id/7d48dbf4c87 2018-10-05T11:41:44+03:00 <span>kasvava, kun </span><em>x</em><span> ≤ 3 eli<span> </span></span><span class="MathJax"><!--filtered attribute: data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">]</mo><mo>&#x2212;</mo><mi mathvariant="normal">&#x221E;</mi><mo>,</mo><mspace width="mediummathspace" /><mn>3</mn><mo stretchy="false">]</mo></math>"--><span class="math"><span><span><span class="mrow"><span class="mo">]</span><span class="mo">−</span><span class="mi">∞</span><span class="mo">,</span><span class="mn">3]</span></span></span></span></span></span><span><span> </span>ja vähenevä, kun<span> </span></span><em>x</em><span> ≥ 3 eli<span> </span></span><span class="MathJax"><!--filtered attribute: data-mathml="<math xmlns="http://www.w3.org/1998/Math/MathML"><mo stretchy="false">[</mo><mn>3</mn><mo>,</mo><mspace width="mediummathspace" /><mi mathvariant="normal">&#x221E;</mi><mo stretchy="false">[</mo></math>"--><span class="math"><span><span><span class="mrow"><span class="mo">[</span><span class="mn">3</span><span class="mo">,</span><span class="mi">∞</span><span class="mo">[</span></span></span></span></span></span> 2018-10-05T11:41:44+03:00 https://peda.net/id/a7880ff6c87 2018-10-05T10:38:30+03:00 <span>317</span> <div><img src="https://math-demo.abitti.fi/math.svg?latex=-x%5E2%2B4x-3%5Cge0" alt="-x^2+4x-3\ge0"/></div> <div>funktion nollakohdat:<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-x%5E2%2B4x-3%3D0" alt="-x^2+4x-3=0"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B-4%5Cpm%5Csqrt%7B4%5E2-4%5Ccdot%5Cleft(-1%5Cright)%5Ccdot%5Cleft(-3%5Cright)%7D%7D%7B2%5Ccdot%5Cleft(-1%5Cright)%7D%3D%5Cfrac%7B-4%5Cpm%5Csqrt%7B4%7D%7D%7B-2%7D" alt="x=\frac{-4\pm\sqrt{4^2-4\cdot\left(-1\right)\cdot\left(-3\right)}}{2\cdot\left(-1\right)}=\frac{-4\pm\sqrt{4}}{-2}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B-4%2B2%7D%7B-2%7D%3D1" alt="x=\frac{-4+2}{-2}=1"/><br/> <div> tai</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B-4-2%7D%7B-2%7D%3D3" alt="x=\frac{-4-2}{-2}=3"/></div> <span>vastaus, </span><img src="https://math-demo.abitti.fi/math.svg?latex=1%5Cle%20x%5Cle3" alt="1\le x\le3"/> <div> </div> <div>TAI valitaan kohdat nollakohtien rajaamilta lukusuoran väleiltä ja lasketaan niissä funktion arvot</div> <div> </div> <div>b,</div> <div> </div> <div>Funktion g(x)=x^2-2x+3 nollakohdat</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2-2x%2B3%3D0" alt="x^2-2x+3=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D%5Cfrac%7B-%5Cleft(-2%5Cright)%5Cpm%5Csqrt%7B%5Cleft(-2%5Cright)%5E2-4%5Ccdot1%5Ccdot3%7D%7D%7B2%5Ccdot1%7D" alt="x=\frac{-\left(-2\right)\pm\sqrt{\left(-2\right)^2-4\cdot1\cdot3}}{2\cdot1}"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D%5C%20%5Cfrac%7B2%5Cpm%5Csqrt%7B-8%7D%7D%7B2%7D" alt="=\ \frac{2\pm\sqrt{-8}}{2}"/><br/> <div>ei nollakohtia</div> 2018-10-05T10:38:30+03:00 https://peda.net/id/d722a9d8c60 2018-10-02T09:17:29+03:00 <span>262</span> <div> </div> <div>tangentin kulmakerroin :</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(4%5Cright)" alt="f'\left(4\right)"/><br/> eli</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%3D-2x%2B2" alt="f'\left(x\right)=-2x+2"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(4%5Cright)%3D-2%5Ccdot4%2B2%3D-8%2B2%3D-6" alt="f'\left(4\right)=-2\cdot4+2=-8+2=-6"/><br/> <div> </div> <div>lasketaan funktion arvo kohdassa x = 4</div> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(4%5Cright)%3D4%5E2%2B2%5Ccdot4%2B1%3D-16%2B8%2B1%3D-7" alt="f\left(4\right)=4^2+2\cdot4+1=-16+8+1=-7"/></div> <br/> <span>muodostetaan suoralle yhtälö</span> <div> </div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=-6%5Ccdot4%2Bb%3D-7" alt="-6\cdot4+b=-7"/></div> <br/> <img src="https://math-demo.abitti.fi/math.svg?latex=b%3D-7%2B24%3D17" alt="b=-7+24=17"/><br/> <span>tangentin yhtälö </span><img src="https://math-demo.abitti.fi/math.svg?latex=y%3D-6x%2B17" alt="y=-6x+17"/> 2018-10-02T09:17:29+03:00 https://peda.net/id/c7a8f37ec60 2018-10-02T08:26:57+03:00 <span>238 a</span> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(3%5Cright)%5C%20%3D%5C%203%5E2-5%5Ccdot3%2B4%3D9-15%2B4%3D-2" alt="f\left(3\right)\ =\ 3^2-5\cdot3+4=9-15+4=-2"/></div> </div> <div>b</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%3D2x-5" alt="f'\left(x\right)=2x-5"/></div> <br/> <div>c</div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(3%5Cright)%3D2%5Ccdot3-5%3D6-5%3D1" alt="f'\left(3\right)=2\cdot3-5=6-5=1"/></div> 2018-10-02T08:26:57+03:00 https://peda.net/id/b5ee3466c2f 2018-09-28T11:44:28+03:00 a,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-6x%2B12" alt="-6x+12"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(0%5Cright)%3D12" alt="f'\left(0\right)=12"/><br/> <br/> b,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=-6x%2B12%3D0" alt="-6x+12=0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=12%3D6x%5C%20%5C%20%3A6" alt="12=6x\ \ :6"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%3D2" alt="x=2"/><br/> <span> </span> 2018-09-28T11:44:28+03:00 https://peda.net/id/6866a18ec2f 2018-09-28T11:35:08+03:00 a.<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=3%5E2-5%5Ccdot3%2B4" alt="3^2-5\cdot3+4"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D9-15%2B4" alt="=9-15+4"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D-2" alt="=-2"/><br/> <br/> b.<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%3D2x-5" alt="f'\left(x\right)=2x-5"/><br/> <br/> c,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=2%5Ccdot3-5%3D1" alt="2\cdot3-5=1"/> 2018-09-28T11:35:08+03:00 https://peda.net/id/405b30bac2e 2018-09-28T10:24:11+03:00 a,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=D(6x%5E5%2B4x%5E3%2B3x%5E2%2Bx)" alt="D(6x^5+4x^3+3x^2+x)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D6%E2%8B%855x%5E4%2B4%E2%8B%853x%5E2%2B3%E2%8B%852x%2B1" alt="=6⋅5x^4+4⋅3x^2+3⋅2x+1"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D30x%5E4%2B12x%5E2%2B6x%2B1" alt="=30x^4+12x^2+6x+1"/><br/> <br/> b,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=D%5Cleft(%5Cfrac%7B3%7D%7B4%7Dx%5E4%2B%5Cfrac%7B4%7D%7B3%7Dx%5E3-%5Cfrac%7B1%7D%7B2%7Dx%5E2%2B7%5Cright)" alt="D\left(\frac{3}{4}x^4+\frac{4}{3}x^3-\frac{1}{2}x^2+7\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D%5Cfrac%7B3%7D%7B4%7D%5Ccdot4x%5E3%2B%5Cfrac%7B4%7D%7B3%7D%5Ccdot3x%5E2-%5Cfrac%7B1%7D%7B2%7D%5Ccdot2x%2B0" alt="=\frac{3}{4}\cdot4x^3+\frac{4}{3}\cdot3x^2-\frac{1}{2}\cdot2x+0"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D3x%5E3%2B4x%5E2-x" alt="=3x^3+4x^2-x"/><br/> <br/> c,<br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%5Cfrac%7B1%7D%7B3%7D%5Ccdot7x%5E6%2B%5Cfrac%7B1%7D%7B2%7D%2B0%3D%5Cfrac%7B7%7D%7B3%7Dx%5E6%2B%5Cfrac%7B1%7D%7B2%7D" alt="\frac{1}{3}\cdot7x^6+\frac{1}{2}+0=\frac{7}{3}x^6+\frac{1}{2}"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D%5Cfrac%7B7%7D%7B3%7Dx%5E6%2B%5Cfrac%7B1%7D%7B2%7D" alt="=\frac{7}{3}x^6+\frac{1}{2}"/> 2018-09-28T10:22:26+03:00 https://peda.net/id/9bb97b64c17 2018-09-26T13:12:00+03:00 a, <b><img src="https://math-demo.abitti.fi/math.svg?latex=11x-7x%5E2%2B9%2B2x%3D-7x%5E2%2B13x%2B9" alt="11x-7x^2+9+2x=-7x^2+13x+9"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=g%27%5Cleft(x%5Cright)%3D-14x%2B13" alt="g'\left(x\right)=-14x+13"/><br/> <br/> b, <img src="https://math-demo.abitti.fi/math.svg?latex=4x%5E2-4x%5E4-2x%2B2x%5E3" alt="4x^2-4x^4-2x+2x^3"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D-4x%5E4%2B2x%5E3%2B4x%5E2-2x" alt="=-4x^4+2x^3+4x^2-2x"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=g%27%5Cleft(x%5Cright)%3D-16x%5E3%2B6x%5E2%2B8x-2" alt="g'\left(x\right)=-16x^3+6x^2+8x-2"/><br/> <br/> <br/> c, <img src="https://math-demo.abitti.fi/math.svg?latex=x2-4x%2B4%5C%20ja%5C%20g%27%5Cleft(x%5Cright)%5C%20%3D%5C%20%5C%202x-4" alt="x2-4x+4\ ja\ g'\left(x\right)\ =\ \ 2x-4"/><br/> <br/> <br/> </b> 2018-09-26T13:12:00+03:00 https://peda.net/id/8f16a638c16 2018-09-26T11:31:26+03:00 a, <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%5C%20%3D%5C%202x%5C%20-%5Cleft(x%2B7%5Cright)" alt="f\left(x\right)\ =\ 2x\ -\left(x+7\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3D%5C%202x%5C%20-x%5C%20-7" alt="=\ 2x\ -x\ -7"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=%3Dx-7" alt="=x-7"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%3D%5C%201" alt="f'\left(x\right)\ =\ 1"/><br/> <br/> <br/> <br/> b, <img src="https://math-demo.abitti.fi/math.svg?latex=g%5Cleft(x%5Cright)%5C%20%3D%5C%20%5Cleft(x-2%5Cright)%5Cleft(x%2B3%5Cright)" alt="g\left(x\right)\ =\ \left(x-2\right)\left(x+3\right)"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%2B3x-2x-6" alt="x^2+3x-2x-6"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=x%5E2%2Bx-6" alt="x^2+x-6"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=g%27%5Cleft(x%5Cright)%3D2x%2B1" alt="g'\left(x\right)=2x+1"/><br/> <br/> <br/> c, <img src="https://math-demo.abitti.fi/math.svg?latex=h%5Cleft(x%5Cright)%5C%20%3D%5C%20%5Cfrac%7B4x%5E3%2B3x%5E2%7D%7B3%7D%3D%5Cfrac%7B4%7D%7B3%7Dx%5E3%2Bx%5E2" alt="h\left(x\right)\ =\ \frac{4x^3+3x^2}{3}=\frac{4}{3}x^3+x^2"/><br/> <img src="https://math-demo.abitti.fi/math.svg?latex=h%27%5Cleft(x%5Cright)%3D%5Cfrac%7B4%7D%7B3%7D%5Ccdot3x%5E2%2B2x%3D4x%5E2%2B2x" alt="h'\left(x\right)=\frac{4}{3}\cdot3x^2+2x=4x^2+2x"/> 2018-09-26T11:31:26+03:00 https://peda.net/id/f267a8e8c16 2018-09-26T11:14:14+03:00 a. <img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%3D%5C%20-3x%5E2" alt="f'\left(x\right)\ =\ -3x^2"/><br/> b. <img src="https://math-demo.abitti.fi/math.svg?latex=g%27%5Cleft(x%5Cright)%3D8x-6" alt="g'\left(x\right)=8x-6"/><br/> c. <img src="https://math-demo.abitti.fi/math.svg?latex=h%E2%80%B2(x)%3D18t5%2B1" alt="h′(x)=18t5+1"/><br/> <br/> 2018-09-26T11:12:44+03:00 https://peda.net/id/4bf68906c08 2018-09-26T11:14:23+03:00 a. <img src="https://math-demo.abitti.fi/math.svg?latex=6x%5E5" alt="6x^5"/><br/> b. 5<br/> c. 0 <br/> <br/> vakio = derivaatta 0<br/> pelkkä kerroin = 1<br/> x^2 = 2x 2018-09-25T09:36:13+03:00 https://peda.net/id/64441e44bbf 2018-09-26T11:14:38+03:00 a. 6-2 = 4<br/> b. 6-0 = 6<br/> <br/> 2018-09-19T13:11:36+03:00 https://peda.net/id/45a3798abbf 2018-09-26T11:15:03+03:00 <img src="https://i.gyazo.com/e44b53dc5640f21ba7ce6a9ecf266987.png"/> 2018-09-19T13:10:44+03:00 https://peda.net/id/69671748bbf 2018-09-19T12:57:25+03:00 a. <img src="https://math-demo.abitti.fi/math.svg?latex=9%5Cle%20x%5Cle11%7B%2C%7D%5C%20pienin%5C%209%7B%2C%7D%5C%20suurin%5C%2011%7B%2C%7D%5C%20esim%5C%2010" alt="9\le x\le11{,}\ pienin\ 9{,}\ suurin\ 11{,}\ esim\ 10"/><br/> b. <span>–9 ≤ </span><em>x</em><span> ≤ –5, pienin –9, suurin –5, esim. –7</span><br/> c. 0 ≤ <em>x</em> ≤ 1, pienin 0, suurin 1, esim. 1/2 <div class="question-container "> <div id="question-Q_11" class="question fileupload has-checkbutton"> <div class="content-view-spacer"> </div> <div class="answers-check-counter"> </div> <div class="control-button-container check-answers-button-container"> </div> </div> </div> <br/> <br/> <br/> 2018-09-19T12:57:25+03:00 https://peda.net/id/c567da16bbf 2018-09-19T12:45:41+03:00 <img src="https://i.gyazo.com/4934384eeae7cff40196db06e4d95d40.png"/> 2018-09-19T12:45:41+03:00 https://peda.net/id/a16acd08bbf 2018-09-26T11:14:49+03:00 101,<br/> a. 2<br/> b. 4<br/> c. 1<br/> d. 3<br/> <br/> 2018-09-19T12:44:40+03:00