Question

hola Urgente :

Hallar la derivada de la función: f(x) = arccotg (3x^2 - 4)

Answer 1

$\frac{d}{dx}(ArcCot f(x))=-\frac{f'(x)}{1+f(x)\,^2}$

entonces

$f(x)=3x^2-4\\\frac{d}{dx}(ArcCot (3x^2-4))=-\frac{6x}{1+(3x^2-4)^2}=-\frac{6x}{9x^4-24x^2+17}$