What is (\partial)/(\partial y)((xy+1)^2) ?

The answer to (\partial)/(\partial y)((xy+1)^2) is 2(xy+1)x

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(\partial)/(\partial y)((xy+1)^2)

\frac{\partial}{\partial y} ((x y + 1)^{2})

2 (x y + 1) x

Solution steps

\frac{\partial}{\partial y} ((x y + 1)^{2})

Treat

x

as a constant

Apply the chain rule:

2 (x y + 1) \frac{\partial}{\partial y} (x y + 1)

= 2 (x y + 1) \frac{\partial}{\partial y} (x y + 1)

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

= 2 (x y + 1) x

x \to 0 lim ((c e^{x} + 1) i f)

f (x) = 5 x^{4} + \frac{1}{2 x ^{2}}

\frac{d}{d x} (\frac{1}{( ln ( x ) ) ^{3}})

\int \frac{x ^{2} + 3}{x + 1} d x

\int \frac{1}{3 - 8 x - x ^{2}} d x

What is (\partial)/(\partial y)((xy+1)^2) ?
The answer to (\partial)/(\partial y)((xy+1)^2) is 2(xy+1)x