If $y = x|x|$, find $\frac{dy}{dx}$ for $x < 0$.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $-2x$ ##
For $x < 0$, $y=x|x| = -x^2$
$∴\frac{dy}{dx} = -2x$
If $y = x|x|$, find $\frac{dy}{dx}$ for $x < 0$.
Correct answer: option 2
The correct answer is Option (2) → $-2x$ ##
For $x < 0$, $y=x|x| = -x^2$
$∴\frac{dy}{dx} = -2x$