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  • Explain solution RD Sharma class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Question question 6

Explain solution RD Sharma class 12 Chapter 11 Higher Order Derivatives Exercise Multiple Choice Question question 6

Answers (1)

Answer:

                (b)

Hint:

We must know the derivative of  x .

Given:

                \begin{aligned} &y=a+b x^{2} \\ & \end{aligned} ,a,b are arbitrary constant.

Explanation:

                 \begin{aligned} &y=a+b x^{2} \\ & \end{aligned}

                 \frac{d y}{d x}=2 b x

                \frac{1}{x} \cdot \frac{d y}{d x}=2 b

                \begin{aligned} &\frac{d^{2} y}{d x^{2}}=2 b=\frac{1}{x} \cdot \frac{d y}{d x} \\ & \end{aligned}

               =x^{2} \frac{d^{2} y}{d x^{2}}=\frac{d y}{d x}

 

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