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

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

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

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

- 2 (y - x)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 2 (y - x) (- 1)

Simplify

= - 2 (y - x)

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