What is the derivative of e^xx-e^x ?

The derivative of e^xx-e^x is e^xx

What is the first derivative of e^xx-e^x ?

The first derivative of e^xx-e^x is e^xx

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

e^{x} x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= e^{x} x + e^{x} - e^{x}

Simplify

= e^{x} x

\frac{\partial}{\partial y} (x^{2} z)

\int (9 - t^{2}) e^{t^{2}} d t

\int_{0}^{1} t^{5} e^{t} d t

y^{^{'}} = 2 y + e^{2 x} cos (3 x)

\int y \cdot 25 \cdot (y - Θ) \cdot e^{(- 5 (y - Θ))} d y

What is the derivative of e^xx-e^x ?
The derivative of e^xx-e^x is e^xx
What is the first derivative of e^xx-e^x ?
The first derivative of e^xx-e^x is e^xx