What is (\partial)/(\partial x)(xarctan(y/z)) ?

The answer to (\partial)/(\partial x)(xarctan(y/z)) is arctan(y/z)

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(\partial)/(\partial x)(xarctan(y/z))

\frac{\partial}{\partial x} (x arctan (\frac{y}{z}))

arctan (\frac{y}{z})

Solution steps

\frac{\partial}{\partial x} (x arctan (\frac{y}{z}))

Treat

y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= arctan (\frac{y}{z}) \frac{\partial}{\partial x} (x)

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= arctan (\frac{y}{z}) \cdot 1

Simplify

= arctan (\frac{y}{z})

f (r) = e^{r} + x^{e}

0.1 x^{3} - 0.1 x^{2} + 50 x

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

f (x) = \frac{x}{3 x - 4 ln ( x )}

x \to 2 lim (\frac{x ^{2} - 9}{x - 3})

What is (\partial)/(\partial x)(xarctan(y/z)) ?
The answer to (\partial)/(\partial x)(xarctan(y/z)) is arctan(y/z)