If $f (x) = x | x |, t h e n f^{'} (- 2) = . . . . .$

Open in App

Solution

Given:

$f (x) = x | x |$

$W h e n x < 0$

$\Rightarrow f (x) = x (- x) = - x^{2}$

$\Rightarrow f^{'} (x) = - 2 x$

$∴ f^{'} (- 2) = 4$

Suggest Corrections

Similar questions

If f (x) = \frac{x - 1}{x + 1}, then find f(f(x)).

L e t f (x) = x - [x], x \in R

T h e n f^{'} (\frac{1}{3}) = . . .

If f (x) = \frac{x - 1}{x + 1}, then find f(f(x)).

If f (x) = 2 x - 1, g (x) = \frac{x + 1}{2}, then f o g - g o f =

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program