What is (\partial)/(\partial y)(tan(xy)) ?

The answer to (\partial)/(\partial y)(tan(xy)) is sec^2(xy)x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(tan(xy))

\frac{\partial}{\partial y} (tan (x y))

sec^{2} (x y) x

Solution steps

\frac{\partial}{\partial y} (tan (x y))

Treat

x

as a constant

Apply the chain rule:

sec^{2} (x y) \frac{\partial}{\partial y} (x y)

= sec^{2} (x y) \frac{\partial}{\partial y} (x y)

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

= sec^{2} (x y) x

What is (\partial)/(\partial y)(tan(xy)) ?
The answer to (\partial)/(\partial y)(tan(xy)) is sec^2(xy)x