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Provide solution for RD Sharma maths class 12 chapter 10 Differentiation exercise Very short answers question 18

Answers (1)

Answer:

The value of  \frac{d y}{d x} \text { is } \frac{1}{x \log _{e} a}

Hint:

By using the properties of logarithm.

Given:

y=\log _{a} x
Solution:  

y=\log _{a} x

    =\frac{\log _{e} x}{\log _{e} a}

\frac{d y}{d x}=\frac{1}{\log _{e} a} \cdot \frac{1}{x}

        =\frac{1}{\operatorname{xlog}_{e} a}

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