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

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

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(\partial)/(\partial y)(ycos(x))

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

cos (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (x) \cdot 1

Simplify

= cos (x)

x \to + 1 lim (ln (x) - 5 x)

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\int \frac{8 x ^{2} + 3 x + 8}{( x ^{2} + 1 ) ^{2}} d x

\int \frac{1}{2 x + x ln ( x )} d x

\frac{\partial}{\partial x} (\frac{7 y}{x ^{\frac{1}{2}}})

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