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

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}

Solution:  

\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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