Let `f(1)-= a, f(3) = a^2 & f'(x) leq 6 AA x in [1,3]`, ther greatest possible value of 'a' is-

Let f(1)-=a,f(3)=a^(2)&f'(x)<=6AA x in[1,3] ther greatest possible value of 'a' is-

Let f(x) is continous function and f'(x) exist AA x in R .If f(2)=10 and f'(x)>=-3AA x in R , then least possible value of f(4)

Let f(1)=-2, f'(x) ge4.2 for 1le x le6 . The smallest possible value of f(6)-16 is ……..

If f(x) is a differentiable function satisfying f^(')(x)lt2 for all xepsilonR and f(1)=2, then greatest possible integral value of f(3) is

Let f(x) = cos^(2) x + cos x +3 then greatest value of f(x) + least value of f(x) is equal to

Let f (x) =x ^(3) + 6x ^(2) + ax +2, if (-3, -1) is the largest possible interval for which f (x) is decreasing function, then a=

Let f:R rarr R be defined by, f(x)={[k-x;x le-1],[x^(2)+3,,xgt-1] .If f(x) has least value at x=-1 , then the possible value of k is

Let f(x)=x^(2)-ax+3a-4 and g(a) be the least value of f(x) then the greatest value of g(a)