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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

\frac{1}{6} x^{2} - 3 x + 15

\int cos (y) cos (4 y) d y

2 x - x^{2}, - 3

\frac{d}{d x} (3 tan (x))

\int \frac{1}{( 1 - x ^{4} )} d x

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