What is the derivative of (x-6(5x+1)) ?

The derivative of (x-6(5x+1)) is 10x-29

What is the first derivative of (x-6(5x+1)) ?

The first derivative of (x-6(5x+1)) is 10x-29

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((x - 6) (5 x + 1))

10 x - 29

Solution steps

\frac{d}{d x} ((x - 6) (5 x + 1))

Apply the Product Rule:

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

f = x - 6, g = 5 x + 1

= \frac{d}{d x} (x - 6) (5 x + 1) + \frac{d}{d x} (5 x + 1) (x - 6)

\frac{d}{d x} (x - 6) = 1

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

= 1 \cdot (5 x + 1) + 5 (x - 6)

Simplify

1 \cdot (5 x + 1) + 5 (x - 6) : 10 x - 29

= 10 x - 29

f (x) = \frac{- x ^{2} - 6}{( x ^{2} - 6 ) ^{2}}

\frac{\partial ^{2}}{\partial y ^{2}} (\frac{x y}{x - y})

\int \frac{3 + x}{1 - x ^{2}} d x

y = (5 - x^{2})^{5}

\int x^{2} + 6 x + 13 d x

What is the derivative of (x-6(5x+1)) ?
The derivative of (x-6(5x+1)) is 10x-29
What is the first derivative of (x-6(5x+1)) ?
The first derivative of (x-6(5x+1)) is 10x-29