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

The derivative of-e^{-x}x-e^{-x} is e^{-x}x

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

The first derivative of-e^{-x}x-e^{-x} is e^{-x}x

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

e^{- x} x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= e^{- x} x

\int 3 x^{2} (x^{3} + 7)^{3} d x

(9 x y^{2} - 3) d x + (9 x^{2} y + 4) d y = 0

f (x) = e^{x + 9} + 9

\int 3 x 7 - 3 x^{2} d x

\int \frac{1}{x ( 1 + ln ( x ) )} d x

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