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

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

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

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

cos (x + y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= cos (x + y) \cdot 1

Simplify

= cos (x + y)

x \to + (- 3) + lim (8 x + 5)

f (x) = x^{l n (x)}

\frac{d}{d x} ((\frac{x - 2}{x - π})^{- 3})

\frac{\partial}{\partial x} (e^{- x^{2} + y^{2}})

4^{r}

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