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  • Provide solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise 13.1 question 14

Provide solution for RD Sharma maths class 12 chapter Differentials Errors and Approximations exercise  13.1 question 14

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Answer: 2% decrease

Hint: Here, we use the formula of surface area of cube

        s=6 x^{2}

Given: \Delta x=1 \% \text { decrease }

Solution:

\begin{aligned} &\Delta x=(-0.01) x \\\\ &d s=\frac{d s}{d x} \times \Delta x=6 \times 2 \Delta x \end{aligned}

      \begin{aligned} &=6 \times 2 x \times(-0.01 x) \\\\ &=-0.12 x^{2} \end{aligned}

Therefore -0.12x^{2} is the approximate change in surface area of cube

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