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Compute the following derivatives. Do not use the definition of the derivative. Instead, use the linearity and power rules we talked about in this section.
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\(\cfrac{d}{dx}\ x^{15}\)
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\(\cfrac{d}{dx}\ 3x^6\)
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\(\cfrac{d}{dx}\ \cfrac{1}{2}x^{4}\)
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\(\cfrac{d}{dx}\ 3 x^2 + 6x \)
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\(\cfrac{d}{dx}\ (2x + 3)^2\)
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ans
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\(\cfrac{d}{dx}\ 7 x^{-4}\)
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ans
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\(\cfrac{d}{dx}\ \sqrt{x}\)
ans
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\(\cfrac{d}{dx}\ \frac{1}{x}\)
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\(\cfrac{d}{dx}\ \sqrt[3]{x^2}\)
ans
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\(\cfrac{d}{dx}\ \frac{2}{\sqrt{x}}\)
ans