What is the derivative of a+b^1x^1+b^2x^2 ?

The derivative of a+b^1x^1+b^2x^2 is 2b^2x+b

What is the first derivative of a+b^1x^1+b^2x^2 ?

The first derivative of a+b^1x^1+b^2x^2 is 2b^2x+b

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (a + b^{1} x^{1} + b^{2} x^{2})

2 b^{2} x + b

Solution steps

\frac{d}{d x} (a + b^{1} x^{1} + b^{2} x^{2})

Simplify

a + b^{1} x^{1} + b^{2} x^{2} : a + b x + b^{2} x^{2}

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 0 + b + 2 b^{2} x

Simplify

= 2 b^{2} x + b

What is the derivative of a+b^1x^1+b^2x^2 ?
The derivative of a+b^1x^1+b^2x^2 is 2b^2x+b
What is the first derivative of a+b^1x^1+b^2x^2 ?
The first derivative of a+b^1x^1+b^2x^2 is 2b^2x+b