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Popular >

derivative of y/(1-2x)

Solution

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

Solution

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

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

Simplify

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

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\int \frac{e ^{x} + 1}{2} d x

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\int_{a}^{b} \frac{1}{r} d r

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\int_{\frac{1}{3}}^{5} 14 x ln (3 x) d x

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Frequently Asked Questions (FAQ)

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