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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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