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  • Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 21 maths textbook solution

Please solve RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  21 maths textbook solution

Answers (1)

Answer: \frac{\log _{10} e}{x}

Hint: \text { use: }\left[\frac{d}{d x} \log _{e} x=\frac{1}{x}\right]

Given: \text { If } \quad y=\log _{10} x

Solution:  \log _{10} x

\begin{aligned} &y=\log _{10} e \cdot \log _{e} x \\\\ &\frac{d y}{d x}=\log _{10} e\times \frac{1}{x} \end{aligned}

 

So the answer is \frac{\log _{10} e}{x}

 

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