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5. continuity and differentiation — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths5. continuity and differentiation1 Mark
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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