What is the derivative of e^{5x^2} ?

The derivative of e^{5x^2} is e^{5x^2}*10x

What is the first derivative of e^{5x^2} ?

The first derivative of e^{5x^2} is e^{5x^2}*10x

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derivative of

e^{5 x^{2}}

e^{5 x^{2}} \cdot 10 x

Solution steps

\frac{d}{d x} (e^{5 x^{2}})

Apply the chain rule:

e^{5 x^{2}} \frac{d}{d x} (5 x^{2})

= e^{5 x^{2}} \frac{d}{d x} (5 x^{2})

\frac{d}{d x} (5 x^{2}) = 10 x

= e^{5 x^{2}} \cdot 10 x

What is the derivative of e^{5x^2} ?
The derivative of e^{5x^2} is e^{5x^2}*10x
What is the first derivative of e^{5x^2} ?
The first derivative of e^{5x^2} is e^{5x^2}*10x