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

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

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

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

cos (x + 2 y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + 2 y) = 1

= cos (x + 2 y) \cdot 1

Simplify

= cos (x + 2 y)

\int_{- 1}^{1} x (x^{2} + 3)^{3} d x

x \to - 2 - lim (\frac{3 x - 6}{x + 2})

\frac{d}{d x} (\frac{π}{4} x)

\int \frac{sec ( θ ) tan ( θ )}{1 + sec ( θ )} d θ

f (x) = - 5 x^{2}, at x = 2

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