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