Use the Chain Rule to find the derivative of
The given function can be expressed as the composition º
where
(referred to as the "outside" function) and
(referred to as the "inside" function).
Recall the chain rule for differentiating º
.
º
Now in order to use the chain rule, we need h'(u) evaluated at g(x) and we need g'(x).
Find h'(u) and evaluate it at g(x).
a = and b =
Substitute and
appropriately in the chain rule to find the derivative of
º
where
and
.
º
m = , n = and p =