Question

find critical number
f(θ)=2secθ + tanθ
0<θ<2pie

f'(θ)=2secθtanθ + sec^2θ

Answer 1

yeah so 2secxtanx+sec^2x=0 secx=0 or 2tanx + sec x=0 which is 2sinx+1=0 sin x=-1/2 or sec x=0 now find the points.

Answer 2

a bit lost

Answer 3

For critical points f'(x)=0 I just solved the equation