What is (\partial)/(\partial x)(xy^2-yx^3) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(xy^2-yx^3)

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

y^{2} - 3 y x^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= y^{2} - 3 y x^{2}

\frac{d}{d x} (1 + 40 x^{3} - 3 x^{5})

x \to 2 lim (1680 x^{3} - 120 x)

\int \frac{2 x - 5}{x ^{2} + 2 x + 2} d x

\int \frac{1}{8 x} d x

n = 0 \sum \infty \frac{1}{n} x^{n}

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