Question

Check off the methods of differentiation required, and complete the derivative.

Answer 1

Given:

$f(x)=\sqrt[]{5x^2-2}$

f(X) will be differentiated by chain rule.

$\begin{gathered} f^{\prime}(x)=\frac{1}{2\sqrt[]{5x^2-2}}\lbrack5(2x)\rbrack \\ f^{\prime}(x)=\frac{5x}{\sqrt[]{5x^2-2}} \end{gathered}$