1.

If y=4x2x3+3, then dydx=

Answer» <p>If <span class="mjx-chtml" id="MathJax-Element-1-Frame"><span class="mjx-math" id="MJXc-Node-348842"><span class="mjx-mrow" id="MJXc-Node-348843"><span class="mjx-mi" id="MJXc-Node-348844"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.519em; padding-right: 0.006em;">y</span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-348845"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span><span class="mjx-mstyle MJXc-space3" id="MJXc-Node-348846"><span class="mjx-mrow" id="MJXc-Node-348847"><span class="mjx-mfrac" id="MJXc-Node-348848"><span class="mjx-box MJXc-stacked" style="width: 2.883em; padding: 0px 0.12em;"><span class="mjx-numerator" style="width: 2.883em; top: -1.528em;"><span class="mjx-mrow" id="MJXc-Node-348849"><span class="mjx-mn" id="MJXc-Node-348850"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">4</span></span><span class="mjx-msubsup" id="MJXc-Node-348851"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-348852"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">x</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.513em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-mn" id="MJXc-Node-348853" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">2</span></span></span></span></span></span><span class="mjx-denominator" style="width: 2.883em; bottom: -0.924em;"><span class="mjx-mrow" id="MJXc-Node-348854"><span class="mjx-msubsup" id="MJXc-Node-348855"><span class="mjx-base"><span class="mjx-mi" id="MJXc-Node-348856"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">x</span></span></span><span class="mjx-sup" style="font-size: 70.7%; vertical-align: 0.409em; padding-left: 0px; padding-right: 0.071em;"><span class="mjx-mn" id="MJXc-Node-348857" style=""><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">3</span></span></span></span><span class="mjx-mo MJXc-space2" id="MJXc-Node-348858"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.298em; padding-bottom: 0.446em;">+</span></span><span class="mjx-mn MJXc-space2" id="MJXc-Node-348859"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.372em; padding-bottom: 0.372em;">3</span></span></span></span><span class="mjx-line" style="border-bottom: 1.3px solid; top: -0.296em; width: 2.883em;"></span></span><span class="mjx-vsize" style="height: 2.452em; vertical-align: -0.924em;"></span></span></span></span><span class="mjx-mo" id="MJXc-Node-348860"><span class="mjx-char MJXc-TeX-main-R" style="margin-top: -0.144em; padding-bottom: 0.519em;">,</span></span></span></span></span> then <span class="mjx-chtml" id="MathJax-Element-2-Frame"><span class="mjx-math" id="MJXc-Node-348861"><span class="mjx-mrow" id="MJXc-Node-348862"><span class="mjx-mstyle" id="MJXc-Node-348863"><span class="mjx-mrow" id="MJXc-Node-348864"><span class="mjx-mfrac" id="MJXc-Node-348865"><span class="mjx-box MJXc-stacked" style="width: 1.295em; padding: 0px 0.12em;"><span class="mjx-numerator" style="width: 1.295em; top: -1.489em;"><span class="mjx-mrow" id="MJXc-Node-348866"><span class="mjx-mi" id="MJXc-Node-348867"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.003em;">d</span></span><span class="mjx-mi" id="MJXc-Node-348868"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.519em; padding-right: 0.006em;">y</span></span></span></span><span class="mjx-denominator" style="width: 1.295em; bottom: -0.795em;"><span class="mjx-mrow" id="MJXc-Node-348869"><span class="mjx-mi" id="MJXc-Node-348870"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.446em; padding-bottom: 0.298em; padding-right: 0.003em;">d</span></span><span class="mjx-mi" id="MJXc-Node-348871"><span class="mjx-char MJXc-TeX-math-I" style="padding-top: 0.225em; padding-bottom: 0.298em;">x</span></span></span></span><span class="mjx-line" style="border-bottom: 1.3px solid; top: -0.296em; width: 1.295em;"></span></span><span class="mjx-vsize" style="height: 2.284em; vertical-align: -0.795em;"></span></span></span></span><span class="mjx-mo MJXc-space3" id="MJXc-Node-348872"><span class="mjx-char MJXc-TeX-main-R" style="padding-top: 0.077em; padding-bottom: 0.298em;">=</span></span></span></span></span><br></p>


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