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

The derivative of 2xe^x+e^{xx^2} is 2(e^xx+e^x)+e^{x^3}*3x^2

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

The first derivative of 2xe^x+e^{xx^2} is 2(e^xx+e^x)+e^{x^3}*3x^2

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

2 (e^{x} x + e^{x}) + e^{x^{3}} \cdot 3 x^{2}

Solution steps

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

Simplify

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

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int 2 cos (9 x) d x

y = 4 - x^{2}, x = 0, x = 2

\frac{d}{d x} (tan (x) - 0.5 x)

\frac{d y}{d x} = x y - 3 x - 2 y + 6

\frac{d}{d x} ((sin (x))^{x})

What is the derivative of 2xe^x+e^{xx^2} ?
The derivative of 2xe^x+e^{xx^2} is 2(e^xx+e^x)+e^{x^3}*3x^2
What is the first derivative of 2xe^x+e^{xx^2} ?
The first derivative of 2xe^x+e^{xx^2} is 2(e^xx+e^x)+e^{x^3}*3x^2