What is (\partial)/(\partial x)(7cos(x)sin(y)) ?

The answer to (\partial)/(\partial x)(7cos(x)sin(y)) is -7sin(x)sin(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(7cos(x)sin(y))

\frac{\partial}{\partial x} (7 cos (x) sin (y))

- 7 sin (x) sin (y)

Solution steps

\frac{\partial}{\partial x} (7 cos (x) sin (y))

Treat

y

as a constant

Take the constant out:

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

= 7 sin (y) \frac{\partial}{\partial x} (cos (x))

Apply the common derivative:

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

= 7 sin (y) (- sin (x))

Simplify

= - 7 sin (x) sin (y)

What is (\partial)/(\partial x)(7cos(x)sin(y)) ?
The answer to (\partial)/(\partial x)(7cos(x)sin(y)) is -7sin(x)sin(y)