What is (\partial)/(\partial y)((xy)/(cos(x))) ?

The answer to (\partial)/(\partial y)((xy)/(cos(x))) is xsec(x)

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(\partial)/(\partial y)((xy)/(cos(x)))

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

x sec (x)

Solution steps

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

Simplify

\frac{x y}{cos ( x )} : x y sec (x)

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= x sec (x) \cdot 1

Simplify

= x sec (x)

s^{2} + 4 s + 13

\frac{\partial}{\partial z} (cos (z) w (z))

\frac{d y}{d t} = 2 (1 - y), y (0) = 0

y = \frac{8 x}{x ^{2} + 1}, (0, 0)

(x^{4} + 1) d y + x (1 + 4 y^{2}) d x = 0

What is (\partial)/(\partial y)((xy)/(cos(x))) ?
The answer to (\partial)/(\partial y)((xy)/(cos(x))) is xsec(x)