pinkant223Lv1
6 Nov 2021
Problem 44
Page 189
Section 3.2: The Product and Quotient Rules
Chapter 3: Differentiation Rules
Textbook ExpertVerified Tutor
6 Nov 2021
Given information
According to the question, we are asked to find the value of differentiation of (h(x)/x) with respect to x at x = 2.
Since the portion under differential is (h(x)/x) so we need the formula of differentiation by quotient rule, and we have been given in the question that h(2) = 4 and h'(2) = -3.
Step-by-step explanation
Step 1.
By Quotient rule we have:
Here, in our case we have f(x) = h(x) and g(x) = x. So, we apply quotient rule: