Question

производная от f(x)=4sinx/8cosx/8

Answer 1

$frac{d}{dx}[ frac{4sin(x)}{8cos(x)}/8]$
$frac{d}{dx} [ frac{sin(x)}{2cos(x)}/8]$
$frac{d}{dx}[ frac{ frac{sin(x)}{2cos(x)} }{8} ]$
$frac{d}{dx} [ frac{sin(x)}{2cos(x)} * frac{1}{8} ]$
$frac{d}{dx} [ frac{sin(x)}{16cos(x)} ]$
$frac{1}{16} frac{d}{dx} [ frac{sin(x)}{cos(x)} ]$
$frac{1}{16} frac{d}{dx}[tan(x)]$
$frac{1}{16} sec^2(x)$
$frac{1}{16} frac{sec^2(x)}{1}$
$frac{sec^2(x)}{16}$