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Popular >

derivative of ln(x-2y)

Solution

\frac{d}{d x} (ln (x - 2 y))

Solution

\frac{1 - 2 \frac{d y}{d x}}{x - 2 y}

Solution steps

\frac{d}{d x} (ln (x - 2 y))

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{1 - 2 \frac{d y}{d x}}{x - 2 y}

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\int x - 4 cos (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of ln(x-2y) ?
The derivative of ln(x-2y) is (1-2\frac{dy)/(dx)}{x-2y}
What is the first derivative of ln(x-2y) ?
The first derivative of ln(x-2y) is (1-2\frac{dy)/(dx)}{x-2y}