The derivative of f(x) = |x |^3 at x = 0 is - Vidyadip

MCQ

The derivative of $f(x) = |x{|^3}$ at $x = 0$ is

✓
$0$
B
$1$
C
$-1$
D
Not defined

✓

Answer

Correct option: A.

$0$

a
(a) $f(x)\, = \,|x{|^3}$ ==> $f'(x) = 3|x{|^2}\frac{d}{{dx}}|x|$

At $x = 0$, $f'(x) = 0.\frac{d}{{dx}}|x|$ ==> $f'(x) = 0$.

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