What is (\partial)/(\partial x)((2x-5y)^2) ?

The answer to (\partial)/(\partial x)((2x-5y)^2) is 4(2x-5y)

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(\partial)/(\partial x)((2x-5y)^2)

\frac{\partial}{\partial x} ((2 x - 5 y)^{2})

4 (2 x - 5 y)

Solution steps

\frac{\partial}{\partial x} ((2 x - 5 y)^{2})

Treat

y

as a constant

Apply the chain rule:

2 (2 x - 5 y) \frac{\partial}{\partial x} (2 x - 5 y)

= 2 (2 x - 5 y) \frac{\partial}{\partial x} (2 x - 5 y)

\frac{\partial}{\partial x} (2 x - 5 y) = 2

= 2 (2 x - 5 y) \cdot 2

Simplify

= 4 (2 x - 5 y)

What is (\partial)/(\partial x)((2x-5y)^2) ?
The answer to (\partial)/(\partial x)((2x-5y)^2) is 4(2x-5y)