$\"\"$

$\"\"$ is the inverse function of a differentiable function $\"\"$ , $\"\"$ and $\"\"$ .

Find $\"\"$ .

Theorem 7:

If $\"\"$ is a one to one differentiable function with inverse function $\"\"$ and $\"\"$ then the inverse function is differentiable at $\"\"$ and $\"\"$ .

Find $\"\"$ .

From the inverse function definition, if $\"\"$ then $\"\"$ .

Therefore, if $\"\"$ then $\"\"$ .

$\"\"$

Substitute $\"\"$ in above expression.

$\"\"$

$\"\"$ .