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  • Please solve RD Sharma class 12 chapter 13 Differentials Errors and Approximations exercise very short answer question 1 maths textbook solution

Please solve RD Sharma class 12 chapter 13 Differentials Errors and Approximations exercise very short answer question 1 maths textbook solution

Answers (1)

best_answer

Answer: 2

Hint:  Here we use this below formula,

                \Delta y=F(x+\Delta x)-F(x)

Given:

            \begin{aligned} &y=x^{2} \\ &x=10 \text { and } \Delta x=0.1 \end{aligned}

Solution:

\begin{aligned} &y=x^{2} \\\\ &\text { and } \Delta x=0.1 \end{aligned}

Let’s take Differentiate of y

\begin{aligned} &y=x^{2} \\\\ &\frac{d y}{d x}=2 x \end{aligned}

\begin{aligned} &\Rightarrow\left(\frac{d y}{d x}\right)=2 \times 10 \quad(x=10)(\text { given }) \\\\ &\Rightarrow \Delta y=d y=\frac{d y}{d x} \times \Delta x=20 \times 0.1=2 \quad(\mathrm{~d} \mathrm{x}=\Delta x=0.1)(\text { Given }) \end{aligned}

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