What is the derivative of y=(4x^2+3)(2x-3) ?

The derivative of y=(4x^2+3)(2x-3) is 24x^2-24x+6

What is the first derivative of y=(4x^2+3)(2x-3) ?

The first derivative of y=(4x^2+3)(2x-3) is 24x^2-24x+6

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derivative of

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

24 x^{2} - 24 x + 6

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

Simplify

8 x (2 x - 3) + 2 (4 x^{2} + 3) : 24 x^{2} - 24 x + 6

= 24 x^{2} - 24 x + 6

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What is the derivative of y=(4x^2+3)(2x-3) ?
The derivative of y=(4x^2+3)(2x-3) is 24x^2-24x+6
What is the first derivative of y=(4x^2+3)(2x-3) ?
The first derivative of y=(4x^2+3)(2x-3) is 24x^2-24x+6