What is the derivative of e^{x^3+2} ?

The derivative of e^{x^3+2} is e^{x^3+2}*3x^2

What is the first derivative of e^{x^3+2} ?

The first derivative of e^{x^3+2} is e^{x^3+2}*3x^2

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\frac{d}{d x} (e^{x^{3} + 2})

e^{x^{3} + 2} \cdot 3 x^{2}

Solution steps

\frac{d}{d x} (e^{x^{3} + 2})

Apply the chain rule:

e^{x^{3} + 2} \frac{d}{d x} (x^{3} + 2)

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

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

= e^{x^{3} + 2} \cdot 3 x^{2}

What is the derivative of e^{x^3+2} ?
The derivative of e^{x^3+2} is e^{x^3+2}*3x^2
What is the first derivative of e^{x^3+2} ?
The first derivative of e^{x^3+2} is e^{x^3+2}*3x^2