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# Differentiation Rules

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

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What is the derivative of \(\displaystyle y=5 x^{3}+\frac{1}{x^{6}}\)?

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What is the derivative of \(-17 x^{16}\)?

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What is the derivative of \( y = \frac{4}{x}+\frac{4}{x^2}?\)

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What is the derivative of \( x^{15} \)?

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