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

The derivative of-e^{-x}x+3e^{-x} is e^{-x}x-4e^{-x}

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

The first derivative of-e^{-x}x+3e^{-x} is e^{-x}x-4e^{-x}

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derivative of

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

e^{- x} x - 4 e^{- x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= e^{- x} x - 4 e^{- x}

x \cdot cos (2 x), 1

y^{^{'}} + 9 tan (9 x) = 7 cos (9 x)

\frac{d}{d x} (- x cos (x) + sin (x))

x + x

\int \frac{1}{x ^{3} + x ^{2} + x} d x

What is the derivative of-e^{-x}x+3e^{-x} ?
The derivative of-e^{-x}x+3e^{-x} is e^{-x}x-4e^{-x}
What is the first derivative of-e^{-x}x+3e^{-x} ?
The first derivative of-e^{-x}x+3e^{-x} is e^{-x}x-4e^{-x}