What is (\partial)/(\partial x)(cos(2x+6y)) ?

The answer to (\partial)/(\partial x)(cos(2x+6y)) is -sin(2x+6y)*2

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(\partial)/(\partial x)(cos(2x+6y))

\frac{\partial}{\partial x} (cos (2 x + 6 y))

- sin (2 x + 6 y) \cdot 2

Solution steps

\frac{\partial}{\partial x} (cos (2 x + 6 y))

Treat

y

as a constant

Apply the chain rule:

- sin (2 x + 6 y) \frac{\partial}{\partial x} (2 x + 6 y)

= - sin (2 x + 6 y) \frac{\partial}{\partial x} (2 x + 6 y)

\frac{\partial}{\partial x} (2 x + 6 y) = 2

= - sin (2 x + 6 y) \cdot 2

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What is (\partial)/(\partial x)(cos(2x+6y)) ?
The answer to (\partial)/(\partial x)(cos(2x+6y)) is -sin(2x+6y)*2