What is (\partial)/(\partial x)(2xy+5y^2) ?

The answer to (\partial)/(\partial x)(2xy+5y^2) is 2y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(2xy+5y^2)

\frac{\partial}{\partial x} (2 x y + 5 y^{2})

2 y

Solution steps

\frac{\partial}{\partial x} (2 x y + 5 y^{2})

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} (5 y^{2})

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

\frac{\partial}{\partial x} (5 y^{2}) = 0

= 2 y + 0

Simplify

= 2 y

(arctan (9 x))^{2}

\frac{e ^{x}}{5 x - 2}

\int_{0}^{2 π} sin^{2} (9 x) d x

4 t

x \to 0 lim (ln (1 + sin (x)))

What is (\partial)/(\partial x)(2xy+5y^2) ?
The answer to (\partial)/(\partial x)(2xy+5y^2) is 2y