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

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

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

- 2 y + 3 x^{2}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= - 2 y + 3 x^{2}

f (x) = 2 - 3 x^{2}, at x = - 2

\frac{d y}{d x} = y^{2} - 2 y

\frac{d}{d x} (e^{2 x} \cdot sin (x^{2} + 5))

2 x^{3} - x^{2} + 3

\frac{d}{d y} (ln (x^{2} + y^{2}))

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