Find and simplify the derivatives of the following functions: ${{ an }^{-1}}\left( \frac{1}{\sqrt{x

Question

Find and simplify the derivatives of the following functions: ${{	an }^{-1}}\left( \frac{1}{\sqrt{x}} ight)$ ${{\sin }^{-1}}\sqrt{1-{{x}^{2}}}$ ${{\cos }^{-1}}\left( {{e}^{-{{x}^{2}}}} ight)$

Accepted Answer

$-\frac{1}{2\sqrt{x}(x+1)}$; $-\frac{x}{|x|\sqrt{1-x^2}}$; $\frac{2x}{\sqrt{e^{2x^2}-1}}$

Inverse-trigonometric function derivative Q1

Inverse-trigonometric function derivative Q1

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