If y=x\left | x \right |, find \frac{\mathrm{d} y}{\mathrm{d} x}\: \: for\: \: x<0.

 

 

 

 

 
 
 
 
 

Answers (1)

y=\left | x \right |x

Then : y=\begin{Bmatrix} -x^2 &x<0 \\ x^2& x>0 \end{Bmatrix}

\frac{\mathrm{d} y}{\mathrm{d} x}=-2x                where x<0

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