Respuesta :

Given:

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

f(X) will be differentiated by chain rule.

[tex]\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}[/tex]