What is (\partial)/(\partial y)(sqrt(6x-3y)) ?

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

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(\partial)/(\partial y)(sqrt(6x-3y))

\frac{\partial}{\partial y} (6 x - 3 y)

- \frac{3}{2 6 x - 3 y}

Solution steps

\frac{\partial}{\partial y} (6 x - 3 y)

Treat

x

as a constant

Apply the chain rule:

\frac{1}{2 6 x - 3 y} \frac{\partial}{\partial y} (6 x - 3 y)

= \frac{1}{2 6 x - 3 y} \frac{\partial}{\partial y} (6 x - 3 y)

\frac{\partial}{\partial y} (6 x - 3 y) = - 3

= \frac{1}{2 6 x - 3 y} (- 3)

Simplify

\frac{1}{2 6 x - 3 y} (- 3) : - \frac{3}{2 6 x - 3 y}

= - \frac{3}{2 6 x - 3 y}

\frac{d}{d x} (sinh (4 x))

\int cosh (2 x) d x

x \to 0 lim (\frac{x}{x ^{2} - 2})

x \to 2 lim (\frac{x ^{2} + x}{x + 3})

x \to 1 lim (r (t))

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