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Problem 40 Hard Difficulty

Use logarithmic differentiation to find the derivative of the function.

$ y = \frac {e^{-x} \cos^2 x}{x^2 + x + 1} $

Answer

$y^{\prime}=-\frac{e^{-x} \cos ^{2} x}{x^{2}+x+1}\left[-1-2 \tan x-\frac{2 x+1}{x^{2}+x+1}\right]$

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