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

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

Popular >

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

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

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

Solution steps

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

Treat

z

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

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

\frac{d}{d x} (\frac{3 x ^{2} + 2 x}{4 x - 3})

g (x) = 3 e^{x} x

\frac{d}{d x} (cos (x) + x cos (y) - y)

\frac{\partial}{\partial x} (x yz + 9 x + 8 y - 4 z)

f (t) = 1

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