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

Given the function \(f(x)=3x^2+2x+1,\) what is the value of \(\left(f^{-1}\right)'(6)?\)

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by **Brilliant Staff**

Given the function \(f(x)=5\ln\frac{x}{4},\) what is the value of \(\left(f^{-1}\right)'(\ln32)?\)

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by **Brilliant Staff**

If \(f(x)=5\sin^{-1}3x,\) what is the value of \(f'\left(\frac{\sqrt{3}}{6} \right)?\)

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by **Brilliant Staff**

Given \(f(x)=5x+\frac{1}{x},\) what is \(\left(f^{-1}\right)'(6)?\)

examples, and problems from the community.

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by **Brilliant Staff**

examples, and problems from the community.

including olympiad champions, researchers, and professionals.

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by **Brilliant Staff**

© Brilliant 2017

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