What is (\partial)/(\partial x)(sqrt(x^2+2*y^4)) ?

The answer to (\partial)/(\partial x)(sqrt(x^2+2*y^4)) is x/(sqrt(x^2+2y^4))

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^2+2*y^4))

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

\frac{x}{x ^{2} + 2 y ^{4}}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

\frac{1}{2 x ^{2} + 2 y ^{4}} \frac{\partial}{\partial x} (x^{2} + 2 y^{4})

= \frac{1}{2 x ^{2} + 2 y ^{4}} \frac{\partial}{\partial x} (x^{2} + 2 y^{4})

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

= \frac{1}{2 x ^{2} + 2 y ^{4}} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 2 y ^{4}} \cdot 2 x : \frac{x}{x ^{2} + 2 y ^{4}}

= \frac{x}{x ^{2} + 2 y ^{4}}

\int sin (x - y) d x

y = 4 x, y = \frac{3}{2} x, y = 45 - x^{2}

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

n

\int y^{2} d y

What is (\partial)/(\partial x)(sqrt(x^2+2*y^4)) ?
The answer to (\partial)/(\partial x)(sqrt(x^2+2*y^4)) is x/(sqrt(x^2+2y^4))