Theorem: General Power Rule If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then 2-1 O f'(x) = n[u(x)] "-¹ u'(x) O f'(x)=n[u(x)]"-1 ○ f'(x) = n[u'(x)]"−¹ u(x) O f'(x)=(n-1)[u(x)]" u'(x) O f'(x)= [u(x)]"¹ u'(x)
Theorem: General Power Rule If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then 2-1 O f'(x) = n[u(x)] "-¹ u'(x) O f'(x)=n[u(x)]"-1 ○ f'(x) = n[u'(x)]"−¹ u(x) O f'(x)=(n-1)[u(x)]" u'(x) O f'(x)= [u(x)]"¹ u'(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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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![Theorem: General Power Rule
If u(x) is a differentiable function, n is any real number, and
f(x) = [u(x)]", then
2-1
O f'(x) = n[u(x)] "-¹ u'(x)
O f'(x)=n[u(x)]"-1
○ f'(x) = n[u'(x)]"−¹ u(x)
O f'(x)=(n-1)[u(x)]" u'(x)
O f'(x)= [u(x)]"¹ u'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cac52cf-c19f-4e3d-a995-6f3c7099178c%2F60bdc44b-22c8-4d91-937c-90f2274804af%2F571m6j3_processed.png&w=3840&q=75)
Transcribed Image Text:Theorem: General Power Rule
If u(x) is a differentiable function, n is any real number, and
f(x) = [u(x)]", then
2-1
O f'(x) = n[u(x)] "-¹ u'(x)
O f'(x)=n[u(x)]"-1
○ f'(x) = n[u'(x)]"−¹ u(x)
O f'(x)=(n-1)[u(x)]" u'(x)
O f'(x)= [u(x)]"¹ u'(x)
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