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
Section4.1: Techniques For Finding Derivatives
Problem 36E: Find all points on the graph of fx=x3+9x2+19x-10 where the slope of the tangent line is -5.
Related questions
Question
![Let F(x) = f(x¹) and G(x) = (f(x))¹.
You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4
Then F'(a)
=
and G'(a)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2F7c305a54-c3c8-41d0-871a-29411279d530%2Fuxu74tgu_processed.png&w=3840&q=75)
Transcribed Image Text:Let F(x) = f(x¹) and G(x) = (f(x))¹.
You also know that a³ = 10, ƒ(a) = 2, ƒ'(a) = 6, ƒ'(aª) = 4
Then F'(a)
=
and G'(a)
=
![Find the following using the table below.
X
1 2 3
f(x) 4 1 2 3
f'(x) 4
g(x)
g'(x) 4 1 2
NW
1 2
h' (3) if h(x) =
433
W|N
3
4 1 3 2
W|N
3
h' (3) if h(x) = f(x) · g(x)
f(x)
g(x)
h'(3) if h(x) = f(g(x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3e51674d-3d29-4cb4-94ad-529601d10286%2F7c305a54-c3c8-41d0-871a-29411279d530%2Fb2grigs_processed.png&w=3840&q=75)
Transcribed Image Text:Find the following using the table below.
X
1 2 3
f(x) 4 1 2 3
f'(x) 4
g(x)
g'(x) 4 1 2
NW
1 2
h' (3) if h(x) =
433
W|N
3
4 1 3 2
W|N
3
h' (3) if h(x) = f(x) · g(x)
f(x)
g(x)
h'(3) if h(x) = f(g(x))
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