$f(x) = \frac{1 - 2\sin x}{2\cos x}$

A cura di: Administrator

$f(x) = frac{1 – 2sin x}{2cos x}$
$f'(x) = frac{-2cos x cdot 2cos x – (1 – 2sin x)cdot (-2sin x)}{4cos^2 x} =$ $frac{-4cos^2 x + 2sin x – 4sin^2 x}{4cos^2 x} =$ $frac{-4 (cos^2 x + sin^2 x) + 2sin x}{4cos^2 x} =$ $frac{-4 + 2sin x}{4cos^2 x} =$ $frac{sin x – 2}{2cos^2 x}$