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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

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

Simplify

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

\frac{d}{d x} (3 cos (x^{2} - 1))

\int_{5}^{7} \frac{1}{4 + ( x - 5 ) ^{2}} d x

x \to 2 lim (x (x + 4))

\frac{x ^{2}}{x - 7}

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