What is (\partial)/(\partial x)((x-y)^4) ?

The answer to (\partial)/(\partial x)((x-y)^4) is 4(x-y)^3

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(\partial)/(\partial x)((x-y)^4)

\frac{\partial}{\partial x} ((x - y)^{4})

4 (x - y)^{3}

Solution steps

\frac{\partial}{\partial x} ((x - y)^{4})

Treat

y

as a constant

Apply the chain rule:

4 (x - y)^{3} \frac{\partial}{\partial x} (x - y)

= 4 (x - y)^{3} \frac{\partial}{\partial x} (x - y)

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

= 4 (x - y)^{3} \cdot 1

Simplify

= 4 (x - y)^{3}

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\int \frac{2 x ^{3} - 4 x ^{2} + 18 x}{x ^{2} + 9} d x

\int x x x + 7 d x

\int_{0}^{\frac{π}{4}} sin^{4} (x) d x

What is (\partial)/(\partial x)((x-y)^4) ?
The answer to (\partial)/(\partial x)((x-y)^4) is 4(x-y)^3