What is the derivative of e^{(x^3/3}) ?

The derivative of e^{(x^3/3}) is e^{(x^3)/3}x^2

What is the first derivative of e^{(x^3/3}) ?

The first derivative of e^{(x^3/3}) is e^{(x^3)/3}x^2

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\frac{d}{d x} (e^{\frac{x ^{3}}{3}})

e^{\frac{x ^{3}}{3}} x^{2}

Solution steps

\frac{d}{d x} (e^{\frac{x ^{3}}{3}})

Apply the chain rule:

e^{\frac{x ^{3}}{3}} \frac{d}{d x} (\frac{x ^{3}}{3})

= e^{\frac{x ^{3}}{3}} \frac{d}{d x} (\frac{x ^{3}}{3})

\frac{d}{d x} (\frac{x ^{3}}{3}) = x^{2}

= e^{\frac{x ^{3}}{3}} x^{2}

What is the derivative of e^{(x^3/3}) ?
The derivative of e^{(x^3/3}) is e^{(x^3)/3}x^2
What is the first derivative of e^{(x^3/3}) ?
The first derivative of e^{(x^3/3}) is e^{(x^3)/3}x^2