What is the derivative of x^2e^x-3 ?

The derivative of x^2e^x-3 is e^xx^2+2e^xx

What is the first derivative of x^2e^x-3 ?

The first derivative of x^2e^x-3 is e^xx^2+2e^xx

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\frac{d}{d x} (x^{2} e^{x} - 3)

e^{x} x^{2} + 2 e^{x} x

Solution steps

\frac{d}{d x} (x^{2} e^{x} - 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2} e^{x}) - \frac{d}{d x} (3)

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

\frac{d}{d x} (3) = 0

= 2 x e^{x} + e^{x} x^{2} - 0

Simplify

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

x \to 0 lim (x \cdot arctan (\frac{1}{x}))

\int (2 x^{3} + 3 x + 1)^{4} (6 x^{2} + 3) d x

\int \frac{1}{x ( 1 + x ^{2} )} d x

(ln (1 - x^{2}))^{^{'}}

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

What is the derivative of x^2e^x-3 ?
The derivative of x^2e^x-3 is e^xx^2+2e^xx
What is the first derivative of x^2e^x-3 ?
The first derivative of x^2e^x-3 is e^xx^2+2e^xx