What is (\partial)/(\partial x)(sqrt(x+y)) ?

The answer to (\partial)/(\partial x)(sqrt(x+y)) is 1/(2sqrt(x+y))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(sqrt(x+y))

\frac{\partial}{\partial x} (x + y)

\frac{1}{2 x + y}

Solution steps

\frac{\partial}{\partial x} (x + y)

Treat

y

as a constant

Apply the chain rule:

\frac{1}{2 x + y} \frac{\partial}{\partial x} (x + y)

= \frac{1}{2 x + y} \frac{\partial}{\partial x} (x + y)

\frac{\partial}{\partial x} (x + y) = 1

= \frac{1}{2 x + y} \cdot 1

Simplify

= \frac{1}{2 x + y}

\int x e^{- 4 x^{2}} d x

f (x) = (sin (x))^{x}

\int e^{2 x} d x

\frac{\partial}{\partial y} (\frac{x ^{2}}{4 y ^{4}})

\int - \frac{1}{2} tan (2 x) d x

What is (\partial)/(\partial x)(sqrt(x+y)) ?
The answer to (\partial)/(\partial x)(sqrt(x+y)) is 1/(2sqrt(x+y))