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}}) = - 2 e^{- x^{2}} x

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

= - 2 e^{- x^{2}} x + 0

Simplify

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

\frac{\partial}{\partial x} (z^{x^{y}})

f (x) = \frac{x}{x ^{2} + 81}

x = 2 y^{2} - 5, x = y^{2} + 4

y = 2 x - 5

\int x^{- 12} d x

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