What is the derivative derivative of xy ?

The derivative derivative of xy is y+x(dy)/(dx)

What is the first derivative derivative of xy ?

The first derivative derivative of xy is y+x(dy)/(dx)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

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

y + x \frac{d y}{d x}

Solution steps

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

Apply the Product Rule:

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

f = x, g = y

= \frac{d x}{d x} y + \frac{d y}{d x} x

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

= 1 \cdot y + \frac{d y}{d x} x

Simplify

= y + x \frac{d y}{d x}

x, y = 0, x = 2, y = x

csc (x) cot (x)

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

\frac{- 1}{u}

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

What is the derivative derivative of xy ?
The derivative derivative of xy is y+x(dy)/(dx)
What is the first derivative derivative of xy ?
The first derivative derivative of xy is y+x(dy)/(dx)