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find the derivative of (sinx)^5find the derivative of sinx exponent five 

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hala718 | High School Teacher | (Level 1) Educator Emeritus

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(sinx)^5

To differentiate, we need to use the chain rule.

Let sinx = u ==> u' = cosx

==>  We know that: (u^5)' = 5*u'*u^4

==>  Now we will substitute:

==> (sin^5 x)' = 5*cosx* sin^4 x

Then , the derivative of sin^5 x is 5cosx*sin^4 x