The set of all values a for which `f(x) = (a^(2) - 3a+2)(cosx/2)+(a-1)x + sin 1` does not posses critical point, is

(i) The set of all values of a for which f(x)=int_(0)^(x){-2(a^(2)-3a+2)sin2x+(a-1)}dx doesn't posses any critical point. (ii) Prove that int_(0)^(x)[t.]dt=([x]([x]-1))/(2)+[x](x-[x]) , where [x] denotes greatest integer function.

The range of values of a for which the function f(x)=(a^2-7a+12)cosx+2(a-4)x+3e^5 does not process critical points is

The range of values of a for which the function f(x)=(a^2-7a+12)cosx+2(a-4)x+3e^5 does not process critical points is

The set of all values of a for which the function f(x)=(a^2-3a+2)(cos^2\ x/4-sin^2\ x/4)+(a-1)x+sin1 does not possess critical points is (A) [1,oo) (B) (0,1) uu (1,4) (C) (-2,4) (D) (1,3) uu (3,5)

The set of a for which the function f(x)=(a^2-3a+2){cos^2""x/4-sin^2""x/4}+(a-1)x+sin1 does not process critical points , is

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cotx/2sin^2x/2 does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)