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

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

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

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

arctan (\frac{y}{x})

Solution steps

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

Treat

y, x

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

\frac{d}{d s} (s - t)

\frac{( x + 1 ) ^{2}}{( 3 x - 4 )}

\int \frac{4 x ^{3} - 3 x}{( x ^{2} + 1 ) ^{2}} d x

\int_{2}^{3} x^{2} e^{x^{3} - 8} d x

\frac{x ^{2}}{x + 7}

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