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  • Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 24 maths

Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  24 maths

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best_answer

Answer: The correct answer is  \frac{1}{x}

Hint:  Differentiate the function but u should not be equal to zero

Given: \mathrm{y}=\log _{\mathrm{e}}|\mathrm{x}|

Solution:  

\mathrm{y}=\log |\mathrm{x}|=\left(\begin{array}{cc} \log (-x), & x<0 \\ \log (x), & x>0 \end{array}\right)

\frac{d y}{d x}=\left(\begin{array}{cc} \frac{-1}{-x}=\frac{1}{x},, & x<0 \\ \frac{1}{x}, & x>0 \end{array}\right)

Which means it is equal to  \frac{1}{x}  when x\neq 0

\frac{d}{d x} \log |x|=\frac{1}{x}, x \neq 0

So the answer is \frac{1}{x}

 

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