Solve it on the paper! The continuous function g, consisting of two line segments and a parabola, is defined on the closed interval [−3, 6], is shown. Let f be a function such that f(-1)=1/e and f ′(x) = e−x(x − 1). Part D: Let h be the function defined by h(x) = −2f(x)g(x). Is h increasing or decreasing at x = −1? Justify your answer.

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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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The continuous function g, consisting of two line segments and a parabola, is defined on the closed interval [−3, 6], is shown. Let f be a function such that f(-1)=1/e and f ′(x) = ex(x − 1).

Part D: Let h be the function defined by h(x) = −2f(x)g(x). Is h increasing or decreasing at x = −1? Justify your answer. 

The continuous function g, consisting of two line segments and a parabola, is defined on the closed interval [-3, 6], is shown. Let f be a function such that f(-1)=
1).
10
M
3
9
8
7
6
5
4
3
2
1
0
5
1 and f'(x) = ex(x -
e
Transcribed Image Text:The continuous function g, consisting of two line segments and a parabola, is defined on the closed interval [-3, 6], is shown. Let f be a function such that f(-1)= 1). 10 M 3 9 8 7 6 5 4 3 2 1 0 5 1 and f'(x) = ex(x - e
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