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Popular >

derivative of 2xe^{-2x}-3e^{x^3}

Solution

derivative of

2 x e^{- 2 x} - 3 e^{x^{3}}

Solution

2 (e^{- 2 x} - 2 e^{- 2 x} x) - 9 e^{x^{3}} x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (3 e^{x^{3}}) = 9 e^{x^{3}} x^{2}

= 2 (e^{- 2 x} - 2 e^{- 2 x} x) - 9 e^{x^{3}} x^{2}

Popular Examples

(\partial)/(\partial x)(3xsin(y))

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(\partial)/(\partial y)(7x^{y/z})

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y^'+(2y)/x = 2/x

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\int \frac{u}{u + 1} d u

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x \to 2 lim (sin (\frac{1}{x} - \frac{1}{2}))

Frequently Asked Questions (FAQ)

What is the derivative of 2xe^{-2x}-3e^{x^3} ?
The derivative of 2xe^{-2x}-3e^{x^3} is 2(e^{-2x}-2e^{-2x}x)-9e^{x^3}x^2
What is the first derivative of 2xe^{-2x}-3e^{x^3} ?
The first derivative of 2xe^{-2x}-3e^{x^3} is 2(e^{-2x}-2e^{-2x}x)-9e^{x^3}x^2