What is (\partial}{\partial y}(xy-\frac{x^4)/4) ?

The answer to (\partial}{\partial y}(xy-\frac{x^4)/4) is x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial}{\partial y}(xy-\frac{x^4)/4)

\frac{\partial}{\partial y} (x y - \frac{x ^{4}}{4})

x

Solution steps

\frac{\partial}{\partial y} (x y - \frac{x ^{4}}{4})

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (x y) - \frac{\partial}{\partial y} (\frac{x ^{4}}{4})

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

\frac{\partial}{\partial y} (\frac{x ^{4}}{4}) = 0

= x - 0

Simplify

= x

\int e^{- 2 x} sin (6 x) d x

\frac{d}{d x} (x^{6} e^{2.5 x})

\frac{d}{d x} (e^{- 0.02 x})

18 e^{x^{2}} x

\int \frac{e ^{x}}{2 x} d x

What is (\partial}{\partial y}(xy-\frac{x^4)/4) ?
The answer to (\partial}{\partial y}(xy-\frac{x^4)/4) is x