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

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

Popular >

(\partial)/(\partial x)(sqrt((x^2+y^2)))

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

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

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} (\frac{x ^{2} - 7 x + 13}{x - 3})

y^{^{''}} - 2 y^{^{'}} = 4 t

\frac{d}{d x} (\frac{x}{10})

x \to 10 + lim (\frac{x ^{3}}{x - 10})

\int \frac{1}{x ( 1 + 2 ln ( x ) )} d x

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