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

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

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

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

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derivative of

f (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)

y = \frac{16}{( x + 4 ) ^{2}}, (0, 1)

\int \frac{q}{k} r^{2} d r

x \to 2 lim (\frac{1}{3.9})

y = tan (x), y = - 3 tan (x), x = \frac{π}{4}

\frac{d}{d x} (3 sin (x^{2}))

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