What is the derivative of e^{-x}(4-x-2) ?

The derivative of e^{-x}(4-x-2) is e^{-x}x-5e^{-x}

What is the first derivative of e^{-x}(4-x-2) ?

The first derivative of e^{-x}(4-x-2) is e^{-x}x-5e^{-x}

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\frac{d}{d x} (e^{- x} (4 - x) - 2)

e^{- x} x - 5 e^{- x}

Solution steps

\frac{d}{d x} (e^{- x} (4 - x) - 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (e^{- x} (4 - x)) - \frac{d}{d x} (2)

\frac{d}{d x} (e^{- x} (4 - x)) = e^{- x} x - 5 e^{- x}

\frac{d}{d x} (2) = 0

= e^{- x} x - 5 e^{- x} - 0

Simplify

= e^{- x} x - 5 e^{- x}

\frac{6 s + 2}{s ( 9 s ^{2} + 6 s + 2 )}

\frac{d}{d x} (\frac{2 x}{125})

\frac{6}{x ^{2} + 2}

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

f (x) = \frac{3}{4 x + 1}

What is the derivative of e^{-x}(4-x-2) ?
The derivative of e^{-x}(4-x-2) is e^{-x}x-5e^{-x}
What is the first derivative of e^{-x}(4-x-2) ?
The first derivative of e^{-x}(4-x-2) is e^{-x}x-5e^{-x}