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If y = {(1-tanx)/(1+tanx)}, show that (d...

If `y = {(1-tanx)/(1+tanx)}`, show that `(dy)/(dx) = (-2)/((1+sin2x))`.

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AI Generated Solution

To show that \(\frac{dy}{dx} = \frac{-2}{1 + \sin 2x}\) for the function \(y = \frac{1 - \tan x}{1 + \tan x}\), we will use the quotient rule for differentiation. ### Step-by-Step Solution: 1. **Identify the function**: \[ y = \frac{1 - \tan x}{1 + \tan x} \] ...
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