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

The answer to (\partial)/(\partial x)((2x+3y)^2) is 4(2x+3y)

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

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

4 (2 x + 3 y)

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

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

Simplify

= 4 (2 x + 3 y)

x \to 0 lim (\frac{1}{x - 3})

\frac{t}{7}

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

\frac{1}{( s ( s ^{2} + 6 s - 27 ) )}

\frac{3 v + v ^{2}}{v + 1} = x \frac{d v}{d x} + v

What is (\partial)/(\partial x)((2x+3y)^2) ?
The answer to (\partial)/(\partial x)((2x+3y)^2) is 4(2x+3y)