What is the derivative of 3e^{-x^2} ?

The derivative of 3e^{-x^2} is -6e^{-x^2}x

What is the first derivative of 3e^{-x^2} ?

The first derivative of 3e^{-x^2} is -6e^{-x^2}x

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derivative of

3 e^{- x^{2}}

- 6 e^{- x^{2}} x

Solution steps

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

Take the constant out:

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

= 3 \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

= 3 e^{- x^{2}} (- 2 x)

Simplify

= - 6 e^{- x^{2}} x

y = x^{3} sin^{2} (x)

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

3 x + 1, at a = 8

\int sin (\frac{1 - x}{3}) d x

cos^{2} (ln (e^{2 x + 1} (- 2 x)))

What is the derivative of 3e^{-x^2} ?
The derivative of 3e^{-x^2} is -6e^{-x^2}x
What is the first derivative of 3e^{-x^2} ?
The first derivative of 3e^{-x^2} is -6e^{-x^2}x