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Popular >

derivative of 1/10+xe^{-x}

Solution

\frac{d}{d x} (\frac{1}{10} + x e^{- x})

Solution

- e^{- x} x + e^{- x}

Solution steps

\frac{d}{d x} (\frac{1}{10} + x e^{- x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{1}{10}) + \frac{d}{d x} (x e^{- x})

\frac{d}{d x} (\frac{1}{10}) = 0

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

= 0 + e^{- x} - e^{- x} x

Simplify

= - e^{- x} x + e^{- x}

Popular Examples

derivative of e^{-3x}y

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

(\partial)/(\partial x)(x^{0.3}y^{0.7})

\frac{\partial}{\partial x} (x^{0.3} y^{0.7})

y^{''}+2y^'+5y=10t^2-e^{-2t}

y^{^{''}} + 2 y^{^{'}} + 5 y = 10 t^{2} - e^{- 2 t}

maclaurin 6sin(5x)maclaurin

6 sin (5 x)

integral of ((x^3)/3)

\int (\frac{x ^{3}}{3}) d x

Frequently Asked Questions (FAQ)

What is the derivative of 1/10+xe^{-x} ?
The derivative of 1/10+xe^{-x} is -e^{-x}x+e^{-x}
What is the first derivative of 1/10+xe^{-x} ?
The first derivative of 1/10+xe^{-x} is -e^{-x}x+e^{-x}