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

The derivative of 2e^{-x^2} is -4e^{-x^2}x

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

The first derivative of 2e^{-x^2} is -4e^{-x^2}x

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

- 4 e^{- x^{2}} x

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

\frac{d}{d x} (- x^{2}) = - 2 x

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

Simplify

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

\int 6 cos (3 x) d x

\frac{d}{d x} (a cos (2 x) + b sin (2 x))

\frac{d}{d x} (a sin (x))

\int tan (2 x se) c^{2} 2 x d x

t an g e n t y = 3 x - 2 x^{2}, (- 3, - 27)

What is the derivative of 2e^{-x^2} ?
The derivative of 2e^{-x^2} is -4e^{-x^2}x
What is the first derivative of 2e^{-x^2} ?
The first derivative of 2e^{-x^2} is -4e^{-x^2}x