Question

qual a derivada de ln (sinx)

Answer 1

Oi Luan

f(x) = ln(sin(x))

derivada 

d/dx(log(sin(x))) = dlog(u)/du com u = sen(x)

dlog(u)(du) = 1/u = csc(x)*d/dx(sin(x) = csc(x)*cos(x)

csc(x)*cos(x) = cos(x)/sen(x) = cotg(x)