The greatest value of `f(x)= (x+1)^(1//3) - (x-1)^(1//3)` on [0, 1] is
(a) 1
(b) 2
(c) 3
(d) `1/3`

The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1] is

The maximum value of [x(x-1)+1]^(1/3),0lt=xlt=1 is (A) (1/3)^(1/3) (B) 1/2 (C) 1 (D) 0

The value of c in Rolles theorem for the function f(x)=x^3-3x in the interval [0,\ sqrt(3)] is (a) 1 (b) -1 (c) 3//2 (d) 1//3

Find the value of x if 2^(x-3)=1 (a) 1 (b) 2 (c) 3 (d) 4

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is

The greatest value of the function f(x)=tan^(-1)x-(1)/(2)log x in [(1)/(sqrt(3)),sqrt(3)] is

The greatest 'x' satisfying the inequation (2x+1)/(3)-(3x-1)/(2)>1 is: -4 (b) 4(c)1(d)-1

The greatest value of f(x)=cos(xe^((x])+7x^(2)-3x),x in[-1,oo] is (where [.] represents the greatest tinteger function).-1 (b) 1 (c) 0 (d) none of these

If f(x)=(1+x)(3+x^(2))^(1/2)(9+x^(3))^(1/3) then f'(-1) is equal to 0( b) 2sqrt(2)(c)4(d)6

Find the greatest & least value of f(x)=sin^(-1).(x)/(sqrt(x^(2)+1))-ln x in [(1)/(sqrt(3)), sqrt(3)] .