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Popular >

derivative of (4x^2-3x(2x+1))

Solution

\frac{d}{d x} ((4 x^{2} - 3 x) (2 x + 1))

Solution

24 x^{2} - 4 x - 3

Solution steps

\frac{d}{d x} ((4 x^{2} - 3 x) (2 x + 1))

Apply the Product Rule:

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

f = 4 x^{2} - 3 x, g = 2 x + 1

= \frac{d}{d x} (4 x^{2} - 3 x) (2 x + 1) + \frac{d}{d x} (2 x + 1) (4 x^{2} - 3 x)

\frac{d}{d x} (4 x^{2} - 3 x) = 8 x - 3

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

= (8 x - 3) (2 x + 1) + 2 (4 x^{2} - 3 x)

Simplify

(8 x - 3) (2 x + 1) + 2 (4 x^{2} - 3 x) : 24 x^{2} - 4 x - 3

= 24 x^{2} - 4 x - 3

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Frequently Asked Questions (FAQ)

What is the derivative of (4x^2-3x(2x+1)) ?
The derivative of (4x^2-3x(2x+1)) is 24x^2-4x-3
What is the first derivative of (4x^2-3x(2x+1)) ?
The first derivative of (4x^2-3x(2x+1)) is 24x^2-4x-3