What is (\partial)/(\partial y)(-sin(x)sin(y)) ?

The answer to (\partial)/(\partial y)(-sin(x)sin(y)) is -sin(x)cos(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(-sin(x)sin(y))

\frac{\partial}{\partial y} (- sin (x) sin (y))

- sin (x) cos (y)

Solution steps

\frac{\partial}{\partial y} (- sin (x) sin (y))

Treat

x

as a constant

Take the constant out:

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

= - sin (x) \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= - sin (x) cos (y)

What is (\partial)/(\partial y)(-sin(x)sin(y)) ?
The answer to (\partial)/(\partial y)(-sin(x)sin(y)) is -sin(x)cos(y)