What is the derivative of sqrt(y^2+x^2) ?

The derivative of sqrt(y^2+x^2) is (y\frac{dy)/(dx)+x}{sqrt(y^2+x^2)}

What is the first derivative of sqrt(y^2+x^2) ?

The first derivative of sqrt(y^2+x^2) is (y\frac{dy)/(dx)+x}{sqrt(y^2+x^2)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 y ^{2} + x ^{2}} (2 y \frac{d y}{d x} + 2 x) : \frac{y \frac{d y}{d x} + x}{y ^{2} + x ^{2}}

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

\int sin (\frac{1}{7}) x d x

h \to 0 lim \frac{( ( h - 5 ) ^{2} - 25 )}{( h )}

\frac{d}{d y} (2 x y^{3})

\int - \frac{1}{s} e^{- s t} d t

\int x (4 x + 5)^{8} d x

What is the derivative of sqrt(y^2+x^2) ?
The derivative of sqrt(y^2+x^2) is (y\frac{dy)/(dx)+x}{sqrt(y^2+x^2)}
What is the first derivative of sqrt(y^2+x^2) ?
The first derivative of sqrt(y^2+x^2) is (y\frac{dy)/(dx)+x}{sqrt(y^2+x^2)}