What is (\partial)/(\partial x)(sin(2x+5y)) ?

The answer to (\partial)/(\partial x)(sin(2x+5y)) is cos(2x+5y)*2

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(\partial)/(\partial x)(sin(2x+5y))

\frac{\partial}{\partial x} (sin (2 x + 5 y))

cos (2 x + 5 y) \cdot 2

Solution steps

\frac{\partial}{\partial x} (sin (2 x + 5 y))

Treat

y

as a constant

Apply the chain rule:

cos (2 x + 5 y) \frac{\partial}{\partial x} (2 x + 5 y)

= cos (2 x + 5 y) \frac{\partial}{\partial x} (2 x + 5 y)

\frac{\partial}{\partial x} (2 x + 5 y) = 2

= cos (2 x + 5 y) \cdot 2

What is (\partial)/(\partial x)(sin(2x+5y)) ?
The answer to (\partial)/(\partial x)(sin(2x+5y)) is cos(2x+5y)*2