What is (\partial)/(\partial y)(x^{3/2}-3y) ?

The answer to (\partial)/(\partial y)(x^{3/2}-3y) is -3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(x^{3/2}-3y)

\frac{\partial}{\partial y} (x^{\frac{3}{2}} - 3 y)

- 3

Solution steps

\frac{\partial}{\partial y} (x^{\frac{3}{2}} - 3 y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (x^{\frac{3}{2}}) - \frac{\partial}{\partial y} (3 y)

\frac{\partial}{\partial y} (x^{\frac{3}{2}}) = 0

\frac{\partial}{\partial y} (3 y) = 3

= 0 - 3

Simplify

= - 3

What is (\partial)/(\partial y)(x^{3/2}-3y) ?
The answer to (\partial)/(\partial y)(x^{3/2}-3y) is -3