What is the derivative of y=x(4x-3) ?

The derivative of y=x(4x-3) is 8x-3

What is the first derivative of y=x(4x-3) ?

The first derivative of y=x(4x-3) is 8x-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

y = x (4 x - 3)

8 x - 3

Solution steps

\frac{d}{d x} (x (4 x - 3))

Apply the Product Rule:

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

f = x, g = 4 x - 3

= \frac{d x}{d x} (4 x - 3) + \frac{d}{d x} (4 x - 3) x

\frac{d x}{d x} = 1

\frac{d}{d x} (4 x - 3) = 4

= 1 \cdot (4 x - 3) + 4 x

Simplify

= 8 x - 3

What is the derivative of y=x(4x-3) ?
The derivative of y=x(4x-3) is 8x-3
What is the first derivative of y=x(4x-3) ?
The first derivative of y=x(4x-3) is 8x-3