What is the first derivative of 1+2xy ?

The first derivative of 1+2xy is 2y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of 1+2xy

derivative of

1 + 2 x y

2 y

Solution steps

\frac{d}{d x} (1 + 2 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (2 x y)

\frac{d}{d x} (1) = 0

\frac{d}{d x} (2 x y) = 2 y

= 0 + 2 y

Simplify

= 2 y