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

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

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

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

- sin (x + 2 y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= - sin (x + 2 y) \cdot 1

Simplify

= - sin (x + 2 y)

y = (x^{3} - 9 x)^{8}, (3, 0)

x^{2} y^{^{''}} - 2 x y^{^{'}} + 2 y = x^{2} + 2

\frac{d}{d x} (\frac{0.9 e ^{x}}{tan ( x )})

(x^{\frac{1}{3}})^{^{'}}

3 t^{3} - \frac{2}{t ^{2}}

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