[f(x)=tan x-4x" .is striectly docerasing an "((-pi)/(8),(pi)/(3))" ."],[f'(x)=]

Prove that the function f(x) = tan x -4x is strictly decreasing on (- (pi)/(3), (pi)/(3)) .

show that the function f(x)=tan x-4x is a strictly decreasing function on (-(pi)/(3),(pi)/(3))

Prove that the function f(x)=tan x-4x is strictly decreasing on (-pi/3,pi/3)

Show that function f(x)=sin(2x+(pi)/(4)) is decreasing on ((3 pi)/(8),(5 pi)/(8))

Show that f(x) =cos (2x+(pi)/(4)) is an increasing function on ((3pi)/(8), (7pi)/(8))

Consider f(x)=sin3x,0<=x<=(pi)/(2), then (a) f(x) is increasing for x in(0,(pi)/(6)) and decreasing for x in((pi)/(6),(pi)/(2)) (b) f(x) is increasing forx in(0,(pi)/(4)) and decreasing for x in((pi)/(4),(pi)/(2)) (c) f(x)

f(x)= tan (x-(pi)/(4)) , find f(x)*f(-x)

Let f(x)=7 tan^(8) x +7 tan^(4) x-3 tan^(2)x for all x in(-(pi)/(2),(pi)/(2)) . Then the correct expression (s) is are

The length of the largest continuous interval in which the function f(x)=4x-tan2x is monotonic is (pi)/(2) (b) (pi)/(4) (c) (pi)/(8) (d) (pi)/(16)