I +1 Use the inverse function theorem to find the derivative of g(x) g'(x) = 1 where f(x) = g'(x) f'(9(x))' Step 1 f(x) = 9(x) = Step 2 f'(x) = Step 3 f'(g(x)) 1 Step 4 f'(g(x)) Now, find g'(x) by differntiating using the quotient rule. g'(r) =
I +1 Use the inverse function theorem to find the derivative of g(x) g'(x) = 1 where f(x) = g'(x) f'(9(x))' Step 1 f(x) = 9(x) = Step 2 f'(x) = Step 3 f'(g(x)) 1 Step 4 f'(g(x)) Now, find g'(x) by differntiating using the quotient rule. g'(r) =
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
Section3.5: Graphical Differentiation
Problem 2E
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Question
![x +1
Use the inverse function theorem to find the derivative of g(x)
1
g'(x) =
where f(x) = g'(x)
((x)6),ƒ
Step 1 f(x) = 9'(x) =
Step 2
f'(x) =
Step 3
f'(g(x)) =
1
Step 4
f'(g(x))
Now, find g'(x) by differntiating using the quotient rule.
= (x),6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9c8ea2b-998b-4740-a768-e0e005ef0f35%2F8ec50f07-9333-4357-a1f6-7404a5ce2d22%2Fuhgty5_processed.png&w=3840&q=75)
Transcribed Image Text:x +1
Use the inverse function theorem to find the derivative of g(x)
1
g'(x) =
where f(x) = g'(x)
((x)6),ƒ
Step 1 f(x) = 9'(x) =
Step 2
f'(x) =
Step 3
f'(g(x)) =
1
Step 4
f'(g(x))
Now, find g'(x) by differntiating using the quotient rule.
= (x),6
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