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

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

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

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

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

2 e^{x^{2}} x

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (2) = 0

= e^{x^{2}} \cdot 2 x + 0

Simplify

= 2 e^{x^{2}} x

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