The functions is $\"\"$ and $\"\"$ where $\"\"$ is differentiable on $\"\"$ and $\"\"$ is a real number.

(a)

Consider $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$

Chain rule of derivatives: $\"\"$ .

$\"\"$

$\"\"$ .

(b)

Consider $\"\"$ .

Differentiate on each side with respect to $\"\"$ .

$\"\"$ .

Power rule of derivatives: $\"\"$ .

$\"\"$ .

(a) $\"\"$ .

(b) $\"\"$ .