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

The derivative of (2x-1(3x+5)) is 12x+7

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

The first derivative of (2x-1(3x+5)) is 12x+7

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\frac{d}{d x} ((2 x - 1) (3 x + 5))

12 x + 7

Solution steps

\frac{d}{d x} ((2 x - 1) (3 x + 5))

Apply the Product Rule:

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

f = 2 x - 1, g = 3 x + 5

= \frac{d}{d x} (2 x - 1) (3 x + 5) + \frac{d}{d x} (3 x + 5) (2 x - 1)

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

\frac{d}{d x} (3 x + 5) = 3

= 2 (3 x + 5) + 3 (2 x - 1)

Simplify

2 (3 x + 5) + 3 (2 x - 1) : 12 x + 7

= 12 x + 7

x \to 2 - lim (x^{2} + 2)

\int x^{3} - 6 x + 7 d x

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

\frac{\partial}{\partial x} (x y + yz + x z)

y^{^{''}} - 4 y^{^{'}} + 4 y = 2 + 8 x - 4 x^{2}

What is the derivative of (2x-1(3x+5)) ?
The derivative of (2x-1(3x+5)) is 12x+7
What is the first derivative of (2x-1(3x+5)) ?
The first derivative of (2x-1(3x+5)) is 12x+7