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Please solve RD Sharma class 12 chapter 10 Differentiation exercise Very short answers question 25 maths textbook solution

Answers (1)

Answer:

The value of   \frac{d y}{d x}=\frac{1}{x}, x \neq 0
Hint:

By using the properties of logarithm.

Given:

y=\log |3 x|, x \neq 0
Solution:  

y=\log |3 x|

So,

\begin{aligned} &\frac{d y}{d x}=\frac{1}{3 x} \cdot 3 \\\\ &=\frac{1}{x}, x \neq 0 \\\\ &\frac{d y}{d x}=\frac{1}{x}, x \neq 0 \end{aligned}

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