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

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

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

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

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derivative of

e^{2 x^{2}}

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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