What is the derivative of f(x)=4e^{-x^2} ?

The derivative of f(x)=4e^{-x^2} is -8e^{-x^2}x

What is the first derivative of f(x)=4e^{-x^2} ?

The first derivative of f(x)=4e^{-x^2} is -8e^{-x^2}x

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derivative of

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

- 8 e^{- x^{2}} x

Solution steps

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

Take the constant out:

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

= 4 \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

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

Simplify

= - 8 e^{- x^{2}} x

x \to + (- 2) lim (x^{2} - 2)

n = 1 \sum \infty 2^{n}

\int_{0}^{\frac{π}{4}} 2 sec (t) d t

n = 1 \sum \infty (- 1)^{n} 9^{n} x^{n}

\frac{d}{d x} (1 + x - 1)

What is the derivative of f(x)=4e^{-x^2} ?
The derivative of f(x)=4e^{-x^2} is -8e^{-x^2}x
What is the first derivative of f(x)=4e^{-x^2} ?
The first derivative of f(x)=4e^{-x^2} is -8e^{-x^2}x