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Chain Rule of Differentiation

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

According to question,

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

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

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