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

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

Answers (1)

best_answer

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}

Posted by

infoexpert26

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