What is the derivative of a*x^2+b*x+c ?

The derivative of a*x^2+b*x+c is 2ax+b

What is the first derivative of a*x^2+b*x+c ?

The first derivative of a*x^2+b*x+c is 2ax+b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (a \cdot x^{2} + b \cdot x + c)

2 a x + b

Solution steps

\frac{d}{d x} (a x^{2} + b x + c)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a x^{2}) + \frac{d}{d x} (b x) + \frac{d c}{d x}

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

\frac{d}{d x} (b x) = b

\frac{d c}{d x} = 0

= 2 a x + b + 0

Simplify

= 2 a x + b

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

(t) e^{4 t}

\int sin^{2} (2 x) d x

\int \frac{1}{9 x ^{2} - 49} d x

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

What is the derivative of a*x^2+b*x+c ?
The derivative of a*x^2+b*x+c is 2ax+b
What is the first derivative of a*x^2+b*x+c ?
The first derivative of a*x^2+b*x+c is 2ax+b