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

The derivative of xe^{-t} is e^{-t}

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

The first derivative of xe^{-t} is e^{-t}

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

e^{- t}

Solution steps

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

Treat

t

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{- t} \cdot 1

Simplify

= e^{- t}

\frac{\partial}{\partial x} (4 x^{3} + y)

5 tan (5 x)

\int \frac{2}{sec ( x ) sin ^{3} ( x )} d x

\frac{d}{d x} (4 4 - x)

f (x) = - x^{2} + 25, at x = - 4

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