8) Use the information below about the functions f,g, and k to answer the following questions. 1 2 3 x ƒ(x) -6 -2 -1 0 -5 4 3 22 59 ƒ'(x) 3 (a) Given that k(x)= = 3 12 0 27 48 g(x) f(x)' Find the derivative: k'(x) = (b) Find k (1). Show work. Simplify your answer. 6 (c) Let H(x) = f(g(x)), Find the derivative: H'(5) = g(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.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
icon
Related questions
Question
8) Use the information below about the functions f,g, and k to answer the following questions.
1
2
3
x ƒ(x)
-6
-2
-1
0
-5
4
3
22
59
ƒ'(x)
3
(a) Given that k(x)=
=
3
12
0
27
48
g(x)
f(x)'
Find the derivative: k'(x) =
(b) Find k (1). Show work. Simplify your answer.
6
(c) Let H(x) = f(g(x)), Find the derivative: H'(5) =
g(x)
Transcribed Image Text:8) Use the information below about the functions f,g, and k to answer the following questions. 1 2 3 x ƒ(x) -6 -2 -1 0 -5 4 3 22 59 ƒ'(x) 3 (a) Given that k(x)= = 3 12 0 27 48 g(x) f(x)' Find the derivative: k'(x) = (b) Find k (1). Show work. Simplify your answer. 6 (c) Let H(x) = f(g(x)), Find the derivative: H'(5) = g(x)
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,