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Finding the derivative of the inverse cosine of x

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The inverse cosine function has domain [-1,1] and range [0, pi]. Prove that (cos^-1)'(x) = -1 / sqrt(1-x^2)

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The step by step classical answer with proper explanations

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Let y = Cos^-1 (x)
<br>
<br>then x = Cos(y)
<br>
<br>Now we will use the implicit ...

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