What is the derivative of (4x+6(9x-5)) ?

The derivative of (4x+6(9x-5)) is 72x+34

What is the first derivative of (4x+6(9x-5)) ?

The first derivative of (4x+6(9x-5)) is 72x+34

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((4 x + 6) (9 x - 5))

72 x + 34

Solution steps

\frac{d}{d x} ((4 x + 6) (9 x - 5))

Apply the Product Rule:

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

f = 4 x + 6, g = 9 x - 5

= \frac{d}{d x} (4 x + 6) (9 x - 5) + \frac{d}{d x} (9 x - 5) (4 x + 6)

\frac{d}{d x} (4 x + 6) = 4

\frac{d}{d x} (9 x - 5) = 9

= 4 (9 x - 5) + 9 (4 x + 6)

Simplify

4 (9 x - 5) + 9 (4 x + 6) : 72 x + 34

= 72 x + 34

\frac{x + 7}{x}

\frac{d}{d x} ((cos (x)) (cos (x)))

\int \frac{1}{x a ^{2} - x ^{2}} d x

\frac{d y}{d x} = (y - 1)^{2} + 0.01, y (0) = 1

\frac{d}{d x} ((e^{x} - 1)^{2})

What is the derivative of (4x+6(9x-5)) ?
The derivative of (4x+6(9x-5)) is 72x+34
What is the first derivative of (4x+6(9x-5)) ?
The first derivative of (4x+6(9x-5)) is 72x+34