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

The answer to (\partial)/(\partial x)(sin(x-3y)) is cos(x-3y)

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(\partial)/(\partial x)(sin(x-3y))

\frac{\partial}{\partial x} (sin (x - 3 y))

cos (x - 3 y)

Solution steps

\frac{\partial}{\partial x} (sin (x - 3 y))

Treat

y

as a constant

Apply the chain rule:

cos (x - 3 y) \frac{\partial}{\partial x} (x - 3 y)

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

\frac{\partial}{\partial x} (x - 3 y) = 1

= cos (x - 3 y) \cdot 1

Simplify

= cos (x - 3 y)

\int_{- 1}^{0} (x + 2)^{13} d x

\int_{0}^{\infty} - e^{- x} d x

f (x) = 2 x^{2} + 2 x, at x = - 2

\int_{- 3}^{3} (e^{x} - e^{- x})^{2} d x

\frac{d}{d t} (cos (t) + t sin (t))

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