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

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

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

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

1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 1 - 0

Simplify

= 1

\frac{d}{d x} (sin (7 x + 2))

\int e^{2 x} sin (e^{x}) d x

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

\int \frac{1}{v} d v

\frac{2}{3 x ^{2}}

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