What is the derivative of 3*e^{-0.25*x^2} ?

The derivative of 3*e^{-0.25*x^2} is -1.5e^{-0.25x^2}x

What is the first derivative of 3*e^{-0.25*x^2} ?

The first derivative of 3*e^{-0.25*x^2} is -1.5e^{-0.25x^2}x

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derivative of

3 \cdot e^{- 0.25 \cdot x^{2}}

- 1.5 e^{- 0.25 x^{2}} x

Solution steps

\frac{d}{d x} (3 e^{- 0.25 x^{2}})

Take the constant out:

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

= 3 \frac{d}{d x} (e^{- 0.25 x^{2}})

Apply the chain rule:

e^{- 0.25 x^{2}} \frac{d}{d x} (- 0.25 x^{2})

= e^{- 0.25 x^{2}} \frac{d}{d x} (- 0.25 x^{2})

\frac{d}{d x} (- 0.25 x^{2}) = - 0.5 x

= 3 e^{- 0.25 x^{2}} (- 0.5 x)

Simplify

= - 1.5 e^{- 0.25 x^{2}} x

f (x) = (x + 2)^{2} - 3 x

x^{2} - 5 x + 8

\frac{11}{z}

(\frac{1 + 1}{x})^{2}

y = x^{3} + x^{2} + 1

What is the derivative of 3*e^{-0.25*x^2} ?
The derivative of 3*e^{-0.25*x^2} is -1.5e^{-0.25x^2}x
What is the first derivative of 3*e^{-0.25*x^2} ?
The first derivative of 3*e^{-0.25*x^2} is -1.5e^{-0.25x^2}x