What is the derivative of f(x)=7e^{-x^2} ?

The derivative of f(x)=7e^{-x^2} is -14e^{-x^2}x

What is the first derivative of f(x)=7e^{-x^2} ?

The first derivative of f(x)=7e^{-x^2} is -14e^{-x^2}x

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derivative of

f (x) = 7 e^{- x^{2}}

- 14 e^{- x^{2}} x

Solution steps

\frac{d}{d x} (7 e^{- x^{2}})

Take the constant out:

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

= 7 \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

= 7 e^{- x^{2}} (- 2 x)

Simplify

= - 14 e^{- x^{2}} x

x^{2} + 2 x, x + 2, - 2, 1

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What is the derivative of f(x)=7e^{-x^2} ?
The derivative of f(x)=7e^{-x^2} is -14e^{-x^2}x
What is the first derivative of f(x)=7e^{-x^2} ?
The first derivative of f(x)=7e^{-x^2} is -14e^{-x^2}x