<div class="content-block content-block--table"><div class="table-container"><table><colgroup><col style="width: 200px;"></colgroup><tbody><tr style="height: 23px;"><td rowspan="2" style="height: 23px; min-height: 23px; text-align: center; --cell-justify: center"><p>$\frac{\mathrm{d}}{\mathrm{d}x}\left( {{x}^{n}} \right)=n{{x}^{n-1}}$, where $n$ is a constant.</p></td></tr><tr style="height: 40px;"></tr></tbody></table></div></div>
<p>Find the derivative of each of the following, </p>
<ol class="abc-list"><li><div class="list-item-paragraph">$y={{x}^{6}}$</div></li><li><div class="list-item-paragraph">$y=\frac{1}{{{x}^{5}}}$</div></li><li><div class="list-item-paragraph">$y=\sqrt{x}$</div></li><li><div class="list-item-paragraph">$y=1$</div></li></ol>

<p>$\frac{\mathrm{d}}{\mathrm{d}x}\left( {{x}^{n}} \right)=n{{x}^{n-1}}$, where $n$ is a constant.</p>

Find the derivative of each of the following, 

Derivative of Power Functions

Derivative of Power Functions