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These are the rules that explain how to take derivatives of any functions: from polynomials to trigonometric functions to logarithms.

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If \(\displaystyle y=\sin^{-1}(x^{5}-2),\) what is \(\displaystyle \frac{dy}{dx}?\)

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If \(\displaystyle y=4x\tan^{-1}\sqrt{x},\) what is \(\displaystyle \frac{dy}{dx}?\)

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