Question

нaйдите прoизводнyю f(x) упростив уравнение
a)$f(x)=\frac{1-sin^{2}(x )}{sin(x)*cos(x)}$

Answer 1

$f(x)=\frac{1-Sin^{2}x }{Sinx*Cosx}=\frac{Cos^{2}x }{Sinx*Cosx}=\frac{Cosx}{Sinx}=Ctgx\\\\\\f'(x)=(Ctgx)'=\boxed{-\frac{1}{Sin^{2}x}}$