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  • Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question 8 maths

Explain solution RD Sharma class 12 chapter 10 Differentiation exercise Fill in the blanks question  8 maths

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Answer: f^{{}'}(x)=\left(\begin{array}{cc} 2 x & x \geq 0 \\ -2 x & x^{2} \leq 0 \end{array}\right)

Hint:x|x|=\left(\begin{array}{cc} x^{2} & x\geq 0 \\ -x^{2} & x < 0 \end{array}\right)

Given:f|x|=x|x|

Solution:  

f|x|=x|x|

\begin{aligned} &f(x)=\left(\begin{array}{cc} x^{2} & x\geq 0 \\ -x^{2} & x < 0 \end{array}\right) \\\\ &f^{1}(x)=\left(\begin{array}{cc} 2 x & x\geq 0 \\ -2 x & x < 0 \end{array}\right) \end{aligned}

 

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