What is the derivative of (x^3+8e^x) ?

The derivative of (x^3+8e^x) is 3x^2e^x+e^x(x^3+8)

What is the first derivative of (x^3+8e^x) ?

The first derivative of (x^3+8e^x) is 3x^2e^x+e^x(x^3+8)

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Popular >

\frac{d}{d x} ((x^{3} + 8) e^{x})

3 x^{2} e^{x} + e^{x} (x^{3} + 8)

Solution steps

\frac{d}{d x} ((x^{3} + 8) e^{x})

Apply the Product Rule:

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

f = x^{3} + 8, g = e^{x}

= \frac{d}{d x} (x^{3} + 8) e^{x} + \frac{d}{d x} (e^{x}) (x^{3} + 8)

\frac{d}{d x} (x^{3} + 8) = 3 x^{2}

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

= 3 x^{2} e^{x} + e^{x} (x^{3} + 8)

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

\frac{\partial}{\partial x} (x^{2} (e^{- x yz}))

\frac{d}{d x} ((2 x + 1) (x - 5))

\int \frac{21 π}{2} cos (\frac{21 π x}{2}) d x

\frac{d}{d x} (x + 2 \cdot sin (x))

What is the derivative of (x^3+8e^x) ?
The derivative of (x^3+8e^x) is 3x^2e^x+e^x(x^3+8)
What is the first derivative of (x^3+8e^x) ?
The first derivative of (x^3+8e^x) is 3x^2e^x+e^x(x^3+8)