What is (\partial)/(\partial y)(arctan(x)y) ?

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

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(\partial)/(\partial y)(arctan(x)y)

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

arctan (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= arctan (x) \cdot 1

Simplify

= arctan (x)

4 - ln (x)

y^{^{''}} + 4 y^{^{'}} + 40 y = 40 cos (8 t)

\frac{\partial}{\partial x} (\frac{1}{3 x})

\int 1 + 4 x d x

\frac{d}{d x} (sec^{2} (9 x))

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