What is (\partial)/(\partial x)(sqrt(xx+yy)) ?

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

Popular >

(\partial)/(\partial x)(sqrt(xx+yy))

\frac{\partial}{\partial x} (xx + yy)

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

Solution steps

\frac{\partial}{\partial x} (xx + yy)

Treat

y

as a constant

Apply the chain rule:

\frac{1}{2 xx + yy} \frac{\partial}{\partial x} (xx + yy)

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

\frac{\partial}{\partial x} (xx + yy) = 2 x

= \frac{1}{2 xx + yy} \cdot 2 x

Simplify

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

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

\int_{0}^{π} x \cdot cos (x) d x

n = 0 \sum \infty \frac{1}{n ^{\frac{1}{3}}}

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

\frac{9}{s ( s ^{2} + 9 s + 9 )}

f (x) = e^{x} + 1, at x = 0

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