Question

What is the derivative of `f(x)=sec(ln(1/x))`?

Answer 1

The derivative would be `-1/x . sec(ln(1/x)). tan(ln(1/x))`

Explanation:

Always treat problem such as this like the following. Break this problem into three parts:

`w = sec(y)` where `y= ln u` where `u=1/x` so the derivative of this function would be:

`f'(x) = u' . y ' . w'`

Derivate the functions separately and then multiply them with each other. Finally substitute the with the original variables.

Hope that helps,
Cheers.