What is the derivative of 2x^2+x+5 ?

The derivative of 2x^2+x+5 is 4x+1

What is the first derivative of 2x^2+x+5 ?

The first derivative of 2x^2+x+5 is 4x+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

2 x^{2} + x + 5

4 x + 1

Solution steps

\frac{d}{d x} (2 x^{2} + x + 5)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x^{2}) + \frac{d x}{d x} + \frac{d}{d x} (5)

\frac{d}{d x} (2 x^{2}) = 4 x

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

\frac{d}{d x} (5) = 0

= 4 x + 1 + 0

Simplify

= 4 x + 1

What is the derivative of 2x^2+x+5 ?
The derivative of 2x^2+x+5 is 4x+1
What is the first derivative of 2x^2+x+5 ?
The first derivative of 2x^2+x+5 is 4x+1