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

The derivative of f(x)=(x-2)(2x+3) is 4x-1

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

The first derivative of f(x)=(x-2)(2x+3) is 4x-1

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derivative of

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

4 x - 1

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

= 1 \cdot (2 x + 3) + 2 (x - 2)

Simplify

1 \cdot (2 x + 3) + 2 (x - 2) : 4 x - 1

= 4 x - 1

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