What is (\partial)/(\partial x)((1+2/y)sin(x)) ?

The answer to (\partial)/(\partial x)((1+2/y)sin(x)) is (1+2/y)cos(x)

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(\partial)/(\partial x)((1+2/y)sin(x))

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial x} (sin (x)) = cos (x)

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

\int \frac{e ^{x}}{( 4 + 9 e ^{2 x} )} d x

\frac{1}{s} \cdot \frac{1}{s ^{2} + \frac{s}{2} + \frac{1}{2}}

\int \frac{1}{x ^{2} + 8 x + 52} d x

x^{2} y^{^{'}} = y^{2} + 3 x y

\frac{d}{d x} (1 + x^{- 1})

What is (\partial)/(\partial x)((1+2/y)sin(x)) ?
The answer to (\partial)/(\partial x)((1+2/y)sin(x)) is (1+2/y)cos(x)