What is the derivative of (2x-1(x+3)) ?

The derivative of (2x-1(x+3)) is 4x+5

What is the first derivative of (2x-1(x+3)) ?

The first derivative of (2x-1(x+3)) is 4x+5

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

4 x + 5

Solution steps

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

Apply the Product Rule:

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

f = 2 x - 1, g = x + 3

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

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

\frac{d}{d x} (x + 3) = 1

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

Simplify

2 (x + 3) + 1 \cdot (2 x - 1) : 4 x + 5

= 4 x + 5

\int \frac{x}{7 x ^{2} + 6} d x

\int 25 e^{5 θ} sin (5 θ) d θ

(2 x - 1) d x + (3 y + 4) d y = 0

\int \frac{ln ( x )}{x 1 - ln ( x )} d x

\frac{d}{d x} (15 + x^{2})

What is the derivative of (2x-1(x+3)) ?
The derivative of (2x-1(x+3)) is 4x+5
What is the first derivative of (2x-1(x+3)) ?
The first derivative of (2x-1(x+3)) is 4x+5