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  • provide solution for RD Sharma maths class 12 chapter Differentiation exercise 10.2 question 10

provide solution for RD Sharma maths class 12 chapter Differentiation exercise  10.2 question 10

Answers (1)

Answer: 3 x^{2} \times 2^{x^{3}} \times \log _{e} 2

Hint: You must know the rules of solving derivative of polynomial function.

Given: 2^{x^{8}}

Solution:

Let  y=2^{x^{3}}

Differentiating with respect to x         

\begin{aligned} &\frac{d y}{d x}=\frac{d}{d x}\left(2^{x^{3}}\right) \\ &\frac{d y}{d x}=2^{x^{3}} \times \log _{e} 2 \frac{d}{d x}\left(x^{3}\right) \end{aligned}                        \frac{d}{d x} a^{x}=a^{x} \log a        [using chain rule]

\frac{d y}{d x}=3 x^{2} \times 2^{x^{3}} \times \log _{e} 2

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