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

The answer to (\partial)/(\partial y)(ysin(x)) is sin(x)

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(\partial)/(\partial y)(ysin(x))

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

sin (x)

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= sin (x) \cdot 1

Simplify

= sin (x)

x \to 2 + lim (2^{x} - 4)

\int \frac{4 \cdot x + 3}{x ^{2} - 25} d x

\int - 7 sin (x) + 4 cos (x) d x

\int tan^{3} (2 x) sec^{5} (2 x) d x

\frac{d}{d x} (e^{2 x} cos (4 x))

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