What is the first d/(dy)(cos(x)-y) ?

The first d/(dy)(cos(x)-y) is -1

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d/(dy)(cos(x)-y)

\frac{d}{d y} (cos (x) - y)

- 1

Solution steps

\frac{d}{d y} (cos (x) - y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d y} (cos (x)) - \frac{d y}{d y}

\frac{d}{d y} (cos (x)) = 0

\frac{d y}{d y} = 1

= 0 - 1

Simplify

= - 1

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\frac{1}{x - 2}

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