[" bit "f(x)" satisfies the requirencent of logranges mears "],[" value therem in "[0,2]" if "f(0)=0,f'(x)sube(1)/(2)" rin "],[F_(1)" - generadion."]

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0,2] and if f(0)=0 and f'(x)<=(1)/(2)

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0, 2] and if f(0)= 0 and f'(x)lt=1/2

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0, 2] and if f(0)= 0 and f'(x)lt=1/2

Let f(x) satisfy the requirements of Largrange's Mean Value Theorem in [0, 2]. If f(0) = 0 and |f'(x)| le (1)/(2) , for all x in [0, 2], then :

[" Let "f" be a twice differential function "],[" satisfying "(e^(x)f''(x)-e^(x)f'(x))/(e^(2x))=1" and "],[f(0)=0,f'(0)=1," then the value of "],[int_(0)^(1)(f(x))/(x)dx" is "]

If a function f satisfies f (f(x))=x+1 for all real values of x and if f(0) = 1/2 then f(1) is equal to

" Let "f(x)" be a function which satisfies the relation "f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1AA x in R" then value of "[f(0)|" is "

If a function f satisfies f{f (x)}=x+1 for all real values of x and if f(0)=1/2 then f(1) is equal to a) 1/2 b)1 c) 3/2 d)2

The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt0AAx in (0,1)

The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt0AAx in (0,1)