How do you find the derivative of sin^7(x)?

1 Answer
Sep 17, 2015

7cosxsin^6x

Explanation:

sin^7x may be wriiten as (sinx)^7

Hence the derivative may be found by using the power rule of differential calculus which says that the derivative of a function to a power is the power times the function raised to 1 less than the given power, multiplied by the derivative of the function.

therefored/dxsin^7x=7sin^6x*cosx