What is the derivative of y=xe^x-e^x ?

The derivative of y=xe^x-e^x is e^xx

What is the first derivative of y=xe^x-e^x ?

The first derivative of y=xe^x-e^x is e^xx

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derivative of

y = x e^{x} - e^{x}

e^{x} x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= e^{x} x

\int x^{7} x^{4} + 5 d x

\int_{l n (2)}^{3} 5 e^{x} d x

\int_{- π}^{π} ∣ x ∣ d x

\frac{\partial}{\partial x} (\frac{1}{( 1 + x ^{2} + y ^{2} )})

f (x) = \frac{2 x}{1 + x ^{2}}

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