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

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

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

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

6 (2 x - 3 y)^{2}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= 3 (2 x - 3 y)^{2} \cdot 2

Simplify

= 6 (2 x - 3 y)^{2}

x \to 4 lim (\frac{1}{x - 2})

f (x) = \frac{4}{x} a = \frac{1}{16}

cos (x y)

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

\frac{1}{( s + 2 ) ^{5}}

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