What is the derivative of xe^{-1} ?

The derivative of xe^{-1} is 1/e

What is the first derivative of xe^{-1} ?

The first derivative of xe^{-1} is 1/e

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\frac{d}{d x} (x e^{- 1})

\frac{1}{e}

Solution steps

\frac{d}{d x} (x e^{- 1})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= e^{- 1} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= e^{- 1} \cdot 1

Simplify

e^{- 1} \cdot 1 : \frac{1}{e}

= \frac{1}{e}

\int e^{- x} cos (2 x) d x

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\int_{0}^{8} 2 π y (64 - y^{2}) d y

What is the derivative of xe^{-1} ?
The derivative of xe^{-1} is 1/e
What is the first derivative of xe^{-1} ?
The first derivative of xe^{-1} is 1/e