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Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  12 maths

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Answer: \frac{2}{3 x}

Hint: \text { take } u=x^{2} \text { and } v=x^{3}

Given:The derivative of x^{2} and x^{3}


\begin{aligned} &\text { Let } u=x^{2} \\\\ &\frac{d u}{d x}=2 x \\\\ &\text { And let } v=x^{3} \end{aligned}

\begin{aligned} &\frac{d v}{d x}=3 x^{2} \\\\ &\frac{d u}{d v}=\frac{d u / d x}{d v / d x}=\frac{2 x}{3 x^{2}}=\frac{2}{3 x} \end{aligned}

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