What is the derivative of f(x)=cos^5(x)?

Gracie Rollins

Gracie Rollins

Answered question

2023-03-09

What is the derivative of f ( x ) = cos 5 ( x ) ?

Answer & Explanation

helixl3u

helixl3u

Beginner2023-03-10Added 6 answers

Answer: f ( x ) = - 5 sin x cos 4 x
Explanation:
We know that
f ( x ) = cos 5 x
f ( x ) = 5 cos 5 - 1 x d d x ( cos x )
f ( x ) = 5 cos 4 x ( - sin x )
Hence, f ( x ) = - 5 sin x cos 4 x

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