What is (\partial)/(\partial y)(x-y) ?

The answer to (\partial)/(\partial y)(x-y) is -1

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(\partial)/(\partial y)(x-y)

\frac{\partial}{\partial y} (x - y)

- 1

Solution steps

\frac{\partial}{\partial y} (x - y)

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (x) - \frac{\partial}{\partial y} (y)

\frac{\partial}{\partial y} (x) = 0

\frac{\partial}{\partial y} (y) = 1

= 0 - 1

Simplify

= - 1

x \to 0 lim (\frac{( 1 1 ^{x} - 1 )}{x})

\int \frac{5}{cos ( x ) - 1} d x

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

f (x) = 2 (sin^{3} (x))

\int \frac{sin ( 2 x )}{14 + cos ^{2} ( x )} d x

What is (\partial)/(\partial y)(x-y) ?
The answer to (\partial)/(\partial y)(x-y) is -1