What is the first d/(dy)(ysin(x)) ?

The first d/(dy)(ysin(x)) is sin(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

d/(dy)(ysin(x))

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

sin (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{d y}{d y} = 1

= sin (x) \cdot 1

Simplify

= sin (x)