22 Dec 2021
Problem 46a
Page 189
Section: 3.2 The Product and Quotient Rules
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
22 Dec 2021
Given information
P(x) = F(x)G(x) and Q(x) = F(x)/G(x), where F and G are the functions whose graphs are shown,
Step-by-step explanation
Step 1.
P'(2) will be the derivative of P(x) evaluated at x=2. So first, we take a derivative.
Now, P(x)=F(x)G(x).
Using Product Rule :
P'(x)=F(x)G'(x)+F'(x)G(x)
Now, let x=2 :
P'(2)=F'(2)G'(2)+F'(2)G(2).