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

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

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

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

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derivative of

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

- e^{- x} x + 3 e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - e^{- x} x + 3 e^{- x}

(cos (x^{2}))^{^{'}}

\int cos (a)

\int x^{2} + 10 d x

(sin (x))^{^{'}}

\int_{0}^{2} (x^{2} - 1) d x

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