bluetrout571Lv1
24 Nov 2021
Problem 3
Page 248
Section Review True: False Quiz
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
24 Nov 2021
Given information
If 
and 
are differentiable, then
Step-by-step explanation
Step 1.
As per question,
If and are differentiable, then
This result is known as the chain rule. Thus, the derivative of 
is the derivative of 
evaluated at 
times the derivative of .
By the definition of the derivative we have
Since is differentiable at 
, letting
we find
with 
.
Similarly, we can write
