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

The derivative of f(x)=e^{-x}x-2e^{-x} is -e^{-x}x+3e^{-x}

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

The first derivative of f(x)=e^{-x}x-2e^{-x} is -e^{-x}x+3e^{-x}

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derivative of

f (x) = 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}

\frac{\partial}{\partial x} (cos (8 x y))

y = 2 x + 8

\int 1 + 36 x d x

\frac{d}{d t} (a e^{b t})

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