d dx ( e^ x^3 ) is equal to - Vidyadip

MCQ

${d \over {dx}}({e^{{x^3}}})$ is equal to

A
$3x{e^{{x^3}}}$
✓
$3{x^2}{e^{{x^3}}}$
C
$3x{\left( {{e^{{x^3}}}} \right)^2}$
D
$2{x^2}{e^{{x^3}}}$

✓

Answer

Correct option: B.

$3{x^2}{e^{{x^3}}}$

b
(b) $\frac{d}{{dx}}({e^x}^3) = {e^x}^3.\frac{d}{{dx}}({x^3}) = 3{x^2}.\,{e^x}^3$.

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