Find the derivative of each expression and simplify.

$\left(4 x^{2}+1\right)^{2}$

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Find the derivative of each expression and simplify.

$\left(x^{5}+3 x\right)^{2}$

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Find the derivative of each expression and simplify.

$\frac{1}{2}\left(x^{12}+17\right)$

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Find the derivative of each expression and simplify.

$-\frac{1}{3}\left(x^{9}+2 x^{3}-9\right)$

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Find the derivative of each expression and simplify.

$-8 x^{-8}+12 \sqrt{x}$

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Find the derivative of each expression and simplify.

$6 x^{-7}-4 \sqrt{x}$

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Find the derivative of each expression and simplify.

$x^{-5}+\frac{1}{x^{8}}$

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Find the derivative of each expression and simplify.

$\left(6 x^{2}+3\right)(12 x-4)$

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Find the derivative of each expression and simplify.

$\left(3-x-2 x^{3}\right)\left(6+x^{4}\right)$

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Find the derivative of each expression and simplify.

$\left(\frac{1}{x}+\frac{1}{x^{2}}\right)\left(\frac{4}{x^{3}}-\frac{6}{x^{4}}\right)$

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Find the derivative of each expression and simplify.

$\sqrt{x}+\frac{1}{\sqrt{3}}$

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Find the derivative of each expression and simplify.

$\sqrt{x}+\sqrt[3]{x}+\sqrt[3]{x^{2}}$

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Find the derivative of each expression and simplify.

$\sqrt{x}(\sqrt[3]{x}+\sqrt[5]{x})$

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