What is (\partial)/(\partial y)(y+xcos(t)) ?

The answer to (\partial)/(\partial y)(y+xcos(t)) is 1

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(\partial)/(\partial y)(y+xcos(t))

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

1

Solution steps

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

Treat

x, t

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (x cos (t)) = 0

= 1 + 0

Simplify

= 1

What is (\partial)/(\partial y)(y+xcos(t)) ?
The answer to (\partial)/(\partial y)(y+xcos(t)) is 1