What is the derivative of 2xe^{x+3}+e^{x+3}x^2 ?

The derivative of 2xe^{x+3}+e^{x+3}x^2 is e^{x+3}x^2+4e^{x+3}x+2e^{x+3}

What is the first derivative of 2xe^{x+3}+e^{x+3}x^2 ?

The first derivative of 2xe^{x+3}+e^{x+3}x^2 is e^{x+3}x^2+4e^{x+3}x+2e^{x+3}

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

e^{x + 3} x^{2} + 4 e^{x + 3} x + 2 e^{x + 3}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 (e^{x + 3} + e^{x + 3} x) + e^{x + 3} x^{2} + 2 x e^{x + 3}

Simplify

2 (e^{x + 3} + e^{x + 3} x) + e^{x + 3} x^{2} + 2 x e^{x + 3} : e^{x + 3} x^{2} + 4 e^{x + 3} x + 2 e^{x + 3}

= e^{x + 3} x^{2} + 4 e^{x + 3} x + 2 e^{x + 3}

e ln (2 x^{4} + a x^{2} y^{2 + 2 y^{4}})

f (x) = 10 x

(8 x^{2} - x) ln (x)

n = 0 \sum \infty (\frac{- 1}{3})^{2 n}

\int \frac{23}{x ^{3} - 125} d x

What is the derivative of 2xe^{x+3}+e^{x+3}x^2 ?
The derivative of 2xe^{x+3}+e^{x+3}x^2 is e^{x+3}x^2+4e^{x+3}x+2e^{x+3}
What is the first derivative of 2xe^{x+3}+e^{x+3}x^2 ?
The first derivative of 2xe^{x+3}+e^{x+3}x^2 is e^{x+3}x^2+4e^{x+3}x+2e^{x+3}