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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- 3 x^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 3 x^{2}

Simplify

= - 3 x^{2}

\frac{d}{d x} (ln (3 + x - x^{3}))

\int x x - 6 d x

\frac{d}{d x} (x sinh (x) - 8 cosh (x))

\frac{d}{d x} (\frac{x ^{2} + 3}{x - 1})

\int \frac{5}{3 x ^{2} - 2} d x

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