Given that h(x) = f(g(x)), use the graphs of f(x) and g(x) to find h'(3). -0.5 [A] 0 3.5 3 2:5 2 1.5 1 -0.5 0 -0.5 --1 -1.5- -2 -2.5- -3 --3:5 [B] -4 0.5 [C] -1 1.5 2 [D] -2 2.5 3 3.5 4 4.5 5 [E] h is not differentiable at x = 3. g(x) 5.5 f(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
Section4.1: 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.
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Given that h(x) = f(g(x)), use the graphs of f(x) and g(x) to find h'(3).
-0.5
[A] 0
3.5
3
2:5
2
1.5
1
-0.5
0
--0:5
-1.5
-2
-2.5
--3
-3:5
[B] -4
0.5
1
[C] -1
1.5
2
[D] -2
2.5
3
3.5
4
4.5
5
[E] h is not differentiable at x = 3.
g(x)
5.5
f(x)
Transcribed Image Text:Given that h(x) = f(g(x)), use the graphs of f(x) and g(x) to find h'(3). -0.5 [A] 0 3.5 3 2:5 2 1.5 1 -0.5 0 --0:5 -1.5 -2 -2.5 --3 -3:5 [B] -4 0.5 1 [C] -1 1.5 2 [D] -2 2.5 3 3.5 4 4.5 5 [E] h is not differentiable at x = 3. g(x) 5.5 f(x)
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