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Popular >

derivative of (x^3+3(x+2))

Solution

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

Solution

4 x^{3} + 6 x^{2} + 3

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (x + 2) = 1

= 3 x^{2} (x + 2) + 1 \cdot (x^{3} + 3)

Simplify

3 x^{2} (x + 2) + 1 \cdot (x^{3} + 3) : 4 x^{3} + 6 x^{2} + 3

= 4 x^{3} + 6 x^{2} + 3

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Frequently Asked Questions (FAQ)

What is the derivative of (x^3+3(x+2)) ?
The derivative of (x^3+3(x+2)) is 4x^3+6x^2+3
What is the first derivative of (x^3+3(x+2)) ?
The first derivative of (x^3+3(x+2)) is 4x^3+6x^2+3