What is (\partial)/(\partial x)((x-y)^2) ?

The answer to (\partial)/(\partial x)((x-y)^2) is 2(x-y)

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(\partial)/(\partial x)((x-y)^2)

\frac{\partial}{\partial x} ((x - y)^{2})

2 (x - y)

Solution steps

\frac{\partial}{\partial x} ((x - y)^{2})

Treat

y

as a constant

Apply the chain rule:

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

= 2 (x - y) \frac{\partial}{\partial x} (x - y)

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

= 2 (x - y) \cdot 1

Simplify

= 2 (x - y)

\frac{\partial}{\partial y} (- \frac{1}{y} sin (\frac{x}{y}))

\frac{d ^{2}}{d x ^{2}} (\frac{5}{6 x ^{4}})

\frac{d}{d x} ((x - 1) sin (x))

\frac{\partial}{\partial x} (ln (e^{x} + e^{y}))

\frac{d}{d y} (1 + y e^{x y})

What is (\partial)/(\partial x)((x-y)^2) ?
The answer to (\partial)/(\partial x)((x-y)^2) is 2(x-y)