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Problem 5 Medium Difficulty

Find the derivative and state a corresponding integration formula.
$$
\frac{d}{d x}[\sqrt{x^{3}+5}]
$$

Answer

$\frac{d}{d x}[\sqrt{x^{3}+5}]=\frac{3 x^{2}}{2 \sqrt{x^{3}+5}},$ so $\int \frac{3 x^{2}}{2 \sqrt{x^{3}+5}} d x=\sqrt{x^{3}+5}+C$

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Video Transcript

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