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}

n = 0 \sum \infty \frac{1}{10 n + 1}

\int (x^{3} - x) d x

n = 1 \sum \infty 3 (\frac{1}{2})^{n - 1}

\int (1 + e^{x})^{2} d x

- 5 t (2 t^{7} - 1)^{5}

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