What is the derivative of e^xx^2-e^x ?

The derivative of e^xx^2-e^x is e^xx^2+2xe^x-e^x

What is the first derivative of e^xx^2-e^x ?

The first derivative of e^xx^2-e^x is e^xx^2+2xe^x-e^x

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\frac{d}{d x} (e^{x} x^{2} - e^{x})

e^{x} x^{2} + 2 x e^{x} - 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^{2}) - \frac{d}{d x} (e^{x})

\frac{d}{d x} (e^{x} x^{2}) = e^{x} x^{2} + 2 x e^{x}

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

= e^{x} x^{2} + 2 x e^{x} - e^{x}

\int \frac{8 - 128 x}{81 - 64 x ^{2}} d x

\frac{d}{d x} (3 x - 8)

\int \frac{x ^{3} + x ^{2} - x + 1}{x} d x

\frac{d}{d x} (e^{x^{3} l n (x)})

\frac{\partial}{\partial x} (3 x^{2} y^{4} + 3)

What is the derivative of e^xx^2-e^x ?
The derivative of e^xx^2-e^x is e^xx^2+2xe^x-e^x
What is the first derivative of e^xx^2-e^x ?
The first derivative of e^xx^2-e^x is e^xx^2+2xe^x-e^x