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

The derivative of e^{2x^2+3} is e^{2x^2+3}*4x

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

The first derivative of e^{2x^2+3} is e^{2x^2+3}*4x

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

e^{2 x^{2} + 3} \cdot 4 x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{2} + 3) = 4 x

= e^{2 x^{2} + 3} \cdot 4 x

What is the derivative of e^{2x^2+3} ?
The derivative of e^{2x^2+3} is e^{2x^2+3}*4x
What is the first derivative of e^{2x^2+3} ?
The first derivative of e^{2x^2+3} is e^{2x^2+3}*4x