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

The derivative of 4e^{-2x^2} is -16e^{-2x^2}x

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

The first derivative of 4e^{-2x^2} is -16e^{-2x^2}x

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\frac{d}{d x} (4 e^{- 2 x^{2}})

- 16 e^{- 2 x^{2}} x

Solution steps

\frac{d}{d x} (4 e^{- 2 x^{2}})

Take the constant out:

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

= 4 \frac{d}{d x} (e^{- 2 x^{2}})

Apply the chain rule:

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

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

\frac{d}{d x} (- 2 x^{2}) = - 4 x

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

Simplify

= - 16 e^{- 2 x^{2}} x

(- 2.2) (2.3)

\frac{cos ( x )}{x ^{3}}

\int_{0}^{1} y 3 y + 1 d y

\frac{d}{d x} ((5 - 3 x)^{2})

\int \frac{1}{( 1 + x ) ^{\frac{3}{4}}} d x

What is the derivative of 4e^{-2x^2} ?
The derivative of 4e^{-2x^2} is -16e^{-2x^2}x
What is the first derivative of 4e^{-2x^2} ?
The first derivative of 4e^{-2x^2} is -16e^{-2x^2}x