How do you differentiate 1+cos^2(x)?

smallcrystalslpxs

smallcrystalslpxs

Answered question

2023-03-26

How to differentiate 1 + cos 2 ( x ) ?

Answer & Explanation

tsunamiwynd6wmb

tsunamiwynd6wmb

Beginner2023-03-27Added 7 answers

-sin2x
Explanation:
differentiate using the chain rule
given y = f ( g ( x ) ) then
d y d x = f ( g ( x ) ) × g ( x ) chain rule
y = 1 + ( cos x ) 2
d y d x = 2 cos x × d d x ( cos x )
d y d x = - 2 sin x cos x = - sin 2 x

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