What is (\partial)/(\partial y)(sin(3x+2y)) ?

The answer to (\partial)/(\partial y)(sin(3x+2y)) is cos(3x+2y)*2

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(\partial)/(\partial y)(sin(3x+2y))

\frac{\partial}{\partial y} (sin (3 x + 2 y))

cos (3 x + 2 y) \cdot 2

Solution steps

\frac{\partial}{\partial y} (sin (3 x + 2 y))

Treat

x

as a constant

Apply the chain rule:

cos (3 x + 2 y) \frac{\partial}{\partial y} (3 x + 2 y)

= cos (3 x + 2 y) \frac{\partial}{\partial y} (3 x + 2 y)

\frac{\partial}{\partial y} (3 x + 2 y) = 2

= cos (3 x + 2 y) \cdot 2

What is (\partial)/(\partial y)(sin(3x+2y)) ?
The answer to (\partial)/(\partial y)(sin(3x+2y)) is cos(3x+2y)*2