What is (\partial)/(\partial y)((x^2+xy)^3) ?

The answer to (\partial)/(\partial y)((x^2+xy)^3) is 3(x^2+xy)^2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)((x^2+xy)^3)

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

3 (x^{2} + x y)^{2} x

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= 3 (x^{2} + x y)^{2} x

3 y^{^{'}} - 2 y = e^{- \frac{π t}{2}}

6 x^{5} e^{x} + e^{x} x^{6}

n = 1 \sum \infty \frac{4}{n ( n + 2 )}

x^{\frac{6}{5}}

y^{^{''}} - 4 y^{^{'}} - 5 y = 9 e^{2 t}

What is (\partial)/(\partial y)((x^2+xy)^3) ?
The answer to (\partial)/(\partial y)((x^2+xy)^3) is 3(x^2+xy)^2x