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

The derivative of (x^3+2x)e^x is (3x^2+2)e^x+e^x(x^3+2x)

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

The first derivative of (x^3+2x)e^x is (3x^2+2)e^x+e^x(x^3+2x)

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derivative of

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

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

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3} + 2 x, g = e^{x}

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

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

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

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

\int e^{y} 2^{e^{y}} 3^{e^{y}} d y

\frac{d}{d x} ((x - 2)^{- 1})

x^{2} - 6 x + 3

f (x) = ln (x^{2} - 3 x + 1), (3, 0)

\int_{- 5}^{0} (\frac{y}{5} + y + 6) d y

What is the derivative of (x^3+2x)e^x ?
The derivative of (x^3+2x)e^x is (3x^2+2)e^x+e^x(x^3+2x)
What is the first derivative of (x^3+2x)e^x ?
The first derivative of (x^3+2x)e^x is (3x^2+2)e^x+e^x(x^3+2x)