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

1 Answer
Sep 17, 2015

Answer:

#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#