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\frac{d}{dx}\left(arccos\left(\sin\left(x\right)\right)\right)

Find the derivative of arccos(sin(x))

Answer

$-1$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(arccos\left(\sin\left(x\right)\right)\right)$
1

Taking the derivative of arccosine

$\frac{d}{dx}\left(\sin\left(x\right)\right)\frac{-1}{\sqrt{1-\sin\left(x\right)^2}}$

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Answer

$-1$

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