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

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

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

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

2 (x + 2 y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 2 (x + 2 y) \cdot 1

Simplify

= 2 (x + 2 y)

f (x) = ln (x^{3})

\int ∣ 2 x - 1 ∣ d x

\int \frac{1}{5 x ^{2} - 20 x + 100} d x

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

\frac{d}{d x} (\frac{2 x}{4 + x})

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