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Find the deri...

Question

Find the derivative of $(3 x^{2} - 7 x + 3)^{5 / 2}$ with respect to x.

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Solution

$\frac{d}{d x} (3 x^{2} - 7 x + 3)^{5 / 2}$

$= 5 / 2 (3 x^{2} - 7 x + 3)^{5 / 2 - 1} (6 x - 7)$

$= \frac{5}{2} (6 x - 7) (3 x^{2} - 7 x + 3)^{3 / 2}$

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