What is the derivative of y=e^{4x^2} ?

The derivative of y=e^{4x^2} is e^{4x^2}*8x

What is the first derivative of y=e^{4x^2} ?

The first derivative of y=e^{4x^2} is e^{4x^2}*8x

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derivative of

y = e^{4 x^{2}}

e^{4 x^{2}} \cdot 8 x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2}) = 8 x

= e^{4 x^{2}} \cdot 8 x

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What is the derivative of y=e^{4x^2} ?
The derivative of y=e^{4x^2} is e^{4x^2}*8x
What is the first derivative of y=e^{4x^2} ?
The first derivative of y=e^{4x^2} is e^{4x^2}*8x