What is (\partial)/(\partial x)((3x-2y)^2) ?

The answer to (\partial)/(\partial x)((3x-2y)^2) is 6(3x-2y)

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(\partial)/(\partial x)((3x-2y)^2)

\frac{\partial}{\partial x} ((3 x - 2 y)^{2})

6 (3 x - 2 y)

Solution steps

\frac{\partial}{\partial x} ((3 x - 2 y)^{2})

Treat

y

as a constant

Apply the chain rule:

2 (3 x - 2 y) \frac{\partial}{\partial x} (3 x - 2 y)

= 2 (3 x - 2 y) \frac{\partial}{\partial x} (3 x - 2 y)

\frac{\partial}{\partial x} (3 x - 2 y) = 3

= 2 (3 x - 2 y) \cdot 3

Simplify

= 6 (3 x - 2 y)

\frac{d}{d n} (\frac{1}{n})

\int 4 x^{2} - 2 x - 2 d x

6 x e^{5 x}

\frac{d}{d x} (\frac{3 ^{x}}{3 ^{x} + 2})

x \to 1 + lim (\frac{6}{x ^{3} - 1})

What is (\partial)/(\partial x)((3x-2y)^2) ?
The answer to (\partial)/(\partial x)((3x-2y)^2) is 6(3x-2y)