What is the derivative of (2x+3(2x-3)) ?

The derivative of (2x+3(2x-3)) is 8x

What is the first derivative of (2x+3(2x-3)) ?

The first derivative of (2x+3(2x-3)) is 8x

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

8 x

Solution steps

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

Apply the Product Rule:

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

f = 2 x + 3, g = 2 x - 3

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

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

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

= 2 (2 x - 3) + 2 (2 x + 3)

Simplify

2 (2 x - 3) + 2 (2 x + 3) : 8 x

= 8 x

What is the derivative of (2x+3(2x-3)) ?
The derivative of (2x+3(2x-3)) is 8x
What is the first derivative of (2x+3(2x-3)) ?
The first derivative of (2x+3(2x-3)) is 8x