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

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

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

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

2 (x y - 5) y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 2 (x y - 5) y

x \to 0 lim (\frac{( e ) ^{x}}{x})

\frac{d}{d x} ((3 x - 4) (x^{3} + 5))

\int - sec^{3} (x) d x

f (x)^{2}

\frac{d}{d x} ((2 x + 1)^{\frac{1}{2}})

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