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

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

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

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

- 2 (x - y)

Solution steps

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

Treat

x

as a constant

Apply the chain rule:

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

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

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

= 2 (x - y) (- 1)

Simplify

= - 2 (x - y)

\frac{d}{d x} (\frac{4 x ^{2} + 3 x}{2 x - 7})

x \to 2 lim (- x^{3} + 3)

f (x) = x^{2} + 1, at x = 4

\int \frac{csc ^{2} ( x )}{cot ^{6} ( x )} d x

\int_{2}^{4} e^{t x} \frac{x}{6} d x

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