Let/ be the continuous function defined on x € (-1,8] whose graph, consisting of two line segments, is shown at the right. Let g, h, and p be the functions defined by g(x)=√x-x+4, h(x) = 5e-9 sinx and p(x) = -² a. The function k is defined by k(x)=f(x) g(x). Find K'(0). Simplify your answer completely. Graph of A b. The function is defined by m(x) Find m'(0). Simplify your answer a 2(X) completely. e. Find the value of x for-1 < x < 2 such that f'(x)=p'(x).
Let/ be the continuous function defined on x € (-1,8] whose graph, consisting of two line segments, is shown at the right. Let g, h, and p be the functions defined by g(x)=√x-x+4, h(x) = 5e-9 sinx and p(x) = -² a. The function k is defined by k(x)=f(x) g(x). Find K'(0). Simplify your answer completely. Graph of A b. The function is defined by m(x) Find m'(0). Simplify your answer a 2(X) completely. e. Find the value of x for-1 < x < 2 such that f'(x)=p'(x).
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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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![Let/ be the continuous function defined on x € (-1,8]
whose graph, consisting of two line segments, is shown
at the right. Let g, h, and p be the functions defined by
g(x)=√x-x+4, h(x) = 5e-9 sin x and
p(x) = -
a. The function k is defined by k(x) = f(x) g(x).
Find K'(0). Simplify your answer completely.
Graph of
b. The function is defined by m(x) = Find m'(0). Simplify your answer
2(x)
completely.
c. Find the value of x for-1<x<2 such that f'(x) = p'(x).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc3b28e3-8432-4f1d-88fd-7166e29f15b5%2Fef80df72-97e0-49da-86bc-0712bf25d6d9%2Fes7ch5r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let/ be the continuous function defined on x € (-1,8]
whose graph, consisting of two line segments, is shown
at the right. Let g, h, and p be the functions defined by
g(x)=√x-x+4, h(x) = 5e-9 sin x and
p(x) = -
a. The function k is defined by k(x) = f(x) g(x).
Find K'(0). Simplify your answer completely.
Graph of
b. The function is defined by m(x) = Find m'(0). Simplify your answer
2(x)
completely.
c. Find the value of x for-1<x<2 such that f'(x) = p'(x).
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