Question

Let f(x)=−2sec^2(x^2). Find f′(x).

Answer 1

Given:

`f(x)=2\sec ^2(x^2)`

Differentiate with respect to x

`\begin{gathered} f^(\prime)(x)=2\lbrack2\sec (x^2)\rbrack\lbrack\sec (x^2)\tan (x^2)\rbrack\lbrack2x\rbrack \\ f^(\prime)(x)=8x\sec ^2(x^2)\tan (x^2) \end{gathered}`