What is the derivative of f(x)=2x^2e^x+4x^3 ?

The derivative of f(x)=2x^2e^x+4x^3 is 2(2xe^x+e^xx^2)+12x^2

What is the first derivative of f(x)=2x^2e^x+4x^3 ?

The first derivative of f(x)=2x^2e^x+4x^3 is 2(2xe^x+e^xx^2)+12x^2

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derivative of

f (x) = 2 x^{2} e^{x} + 4 x^{3}

2 (2 x e^{x} + e^{x} x^{2}) + 12 x^{2}

Solution steps

\frac{d}{d x} (2 x^{2} e^{x} + 4 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{2} e^{x}) + \frac{d}{d x} (4 x^{3})

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

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

= 2 (2 x e^{x} + e^{x} x^{2}) + 12 x^{2}

\int 16 - x^{2} d x

\int [v + \frac{1}{( 3 v - 1 ) ^{3}}] d v

\int 2 \cdot x \cdot y

e^{- 2 x}

What is the derivative of f(x)=2x^2e^x+4x^3 ?
The derivative of f(x)=2x^2e^x+4x^3 is 2(2xe^x+e^xx^2)+12x^2
What is the first derivative of f(x)=2x^2e^x+4x^3 ?
The first derivative of f(x)=2x^2e^x+4x^3 is 2(2xe^x+e^xx^2)+12x^2