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If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) = [u(x)]"−¹u' (x) ○ f'(x) = (n − 1)[u(x)]*u'(x) O f'(x) = n[u' (x)] n-¹ u(x) ○ f'(x) = n[u(x)]*¯¹ u'(x) ○ f'(x) = n[u(x)]"-1

If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) = [u(x)]"−¹u' (x) ○ f'(x) = (n − 1)[u(x)]*u'(x) O f'(x) = n[u' (x)] n-¹ u(x) ○ f'(x) = n[u(x)]*¯¹ u'(x) ○ f'(x) = n[u(x)]"-1

Calculus For The Life Sciences
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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If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) = [u(x)]"−¹u' (x) ○ f'(x) = (n − 1)[u(x)]*u'(x) O f'(x) = n[u' (x)] n-¹ u(x) ○ f'(x) = n[u(x)]*¯¹ u'(x) ○ f'(x) = n[u(x)]"-1
Transcribed Image Text:If u(x) is a differentiable function, n is any real number, and f(x) = [u(x)]", then. ○ ƒ'(x) = [u(x)]"−¹u' (x) ○ f'(x) = (n − 1)[u(x)]*u'(x) O f'(x) = n[u' (x)] n-¹ u(x) ○ f'(x) = n[u(x)]*¯¹ u'(x) ○ f'(x) = n[u(x)]"-1
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