Problem 1 Given the graphs of f(x) and h(r). f(x) 5 2 3 h(x) 8 9 ← 3 0 2 X a) Let g(x) = f(x) h(x). What is the value of g'(2)? b) Let p(x) = f(x)/h(x) What is the value of p'(2)? c) Write out formulas for both f(x) and h(x) (these functions are defined piecewise) Sketch the graph

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Problem 1
Given the graphs of f(x) and h(r).
f(x)
5
2
3
h(x)
8
9
←
3
0
2
X
a) Let g(x) = f(x) h(x). What is the value of g'(2)?
b) Let p(x) = f(x)/h(x) What is the value of p'(2)?
c)
Write out formulas for both f(x) and h(x) (these functions are
defined piecewise). Sketch the graph of g(x) and p(x) (You
can use Desmos to generate a picture: see
Transcribed Image Text:Problem 1 Given the graphs of f(x) and h(r). f(x) 5 2 3 h(x) 8 9 ← 3 0 2 X a) Let g(x) = f(x) h(x). What is the value of g'(2)? b) Let p(x) = f(x)/h(x) What is the value of p'(2)? c) Write out formulas for both f(x) and h(x) (these functions are defined piecewise). Sketch the graph of g(x) and p(x) (You can use Desmos to generate a picture: see
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