What is the derivative of e^{x^2}+1 ?

The derivative of e^{x^2}+1 is 2e^{x^2}x

What is the first derivative of e^{x^2}+1 ?

The first derivative of e^{x^2}+1 is 2e^{x^2}x

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\frac{d}{d x} (e^{x^{2}} + 1)

2 e^{x^{2}} x

Solution steps

\frac{d}{d x} (e^{x^{2}} + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{x^{2}}) + \frac{d}{d x} (1)

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

\frac{d}{d x} (1) = 0

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

Simplify

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

y = 2 x^{2}

\int_{0}^{y + z} \frac{1}{( x + y + z ) ^{3}} d x

e^{x} (x - 1)

y^{^{'}} + sin (t) y = sin (t), y (0) = 6

\frac{\partial}{\partial x} ((x^{2} - 2 x) cos (y))

What is the derivative of e^{x^2}+1 ?
The derivative of e^{x^2}+1 is 2e^{x^2}x
What is the first derivative of e^{x^2}+1 ?
The first derivative of e^{x^2}+1 is 2e^{x^2}x