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

The derivative of ce^{-2x^2} is -4ce^{-2x^2}x

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

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

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

- 4 c e^{- 2 x^{2}} x

Solution steps

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

Take the constant out:

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

= c \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

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

Simplify

= - 4 c e^{- 2 x^{2}} x

\frac{d}{d x} (sin (x) os (x))

\int csc (3 x) d x

y^{^{'}} = y - y^{2}, y (0) = 9

\frac{2}{( s + 2 ) ( s + 3 ) ^{2}}

\int 5 x e^{x} d x

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