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Popular >

derivative of (6x+4(3x^2+2))

Solution

\frac{d}{d x} ((6 x + 4) (3 x^{2} + 2))

Solution

54 x^{2} + 24 x + 12

Solution steps

\frac{d}{d x} ((6 x + 4) (3 x^{2} + 2))

Apply the Product Rule:

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

f = 6 x + 4, g = 3 x^{2} + 2

= \frac{d}{d x} (6 x + 4) (3 x^{2} + 2) + \frac{d}{d x} (3 x^{2} + 2) (6 x + 4)

\frac{d}{d x} (6 x + 4) = 6

\frac{d}{d x} (3 x^{2} + 2) = 6 x

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

Simplify

6 (3 x^{2} + 2) + 6 x (6 x + 4) : 54 x^{2} + 24 x + 12

= 54 x^{2} + 24 x + 12

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (6x+4(3x^2+2)) ?
The derivative of (6x+4(3x^2+2)) is 54x^2+24x+12
What is the first derivative of (6x+4(3x^2+2)) ?
The first derivative of (6x+4(3x^2+2)) is 54x^2+24x+12