What is (\partial)/(\partial y)(ln(x-8y)) ?

The answer to (\partial)/(\partial y)(ln(x-8y)) is -8/(x-8y)

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(\partial)/(\partial y)(ln(x-8y))

\frac{\partial}{\partial y} (ln (x - 8 y))

- \frac{8}{x - 8 y}

Solution steps

\frac{\partial}{\partial y} (ln (x - 8 y))

Treat

x

as a constant

Apply the chain rule:

\frac{1}{x - 8 y} \frac{\partial}{\partial y} (x - 8 y)

= \frac{1}{x - 8 y} \frac{\partial}{\partial y} (x - 8 y)

\frac{\partial}{\partial y} (x - 8 y) = - 8

= \frac{1}{x - 8 y} (- 8)

Simplify

\frac{1}{x - 8 y} (- 8) : - \frac{8}{x - 8 y}

= - \frac{8}{x - 8 y}

x \to 6 lim (5)

x^{2} - 25, 25 - x^{2}

\frac{3}{2} x^{2}

n = 3 \sum \infty \frac{n}{n + 2}

(1 + t^{2}) y^{^{'}} + 4 t y = (1 + t^{2})^{- 2}

What is (\partial)/(\partial y)(ln(x-8y)) ?
The answer to (\partial)/(\partial y)(ln(x-8y)) is -8/(x-8y)