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

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

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

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

arctan (\frac{x}{z})

Solution steps

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

Treat

x, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

h (x) = 4 x^{7}

\int_{2}^{5} \frac{3 x + 3}{x ^{2}} d x

x \to 1 lim (\frac{7 x ^{2} - 4 x - 3}{3 x ^{2} - 4 x + 1})

\frac{d}{d x} (94 - 10 cos (\frac{π}{12} (x - 2)))

\frac{\partial}{\partial y} (e^{x y} cos (x + y))

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