Statement 1: Let `f(x)=5-4(x-2)^(2/3)dot` Then at `x=2,` the function `f(x)` attains neither the least value nor the greatest value. Statement 2: At `x=2,` then first derivative does not exist.

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)

Each question has four choices, a,b,c,d out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: Leg f(x)=x[x]a n d[dot] denotes the greatest integral function, when x is not an integer, then rule for f^(prime)(x) is given by [x]dot Statement 2: f^(prime)(x) does not exist for any x integer.

Let f(x)=(x^(2)+2)/([x]),1 le x le3 , where [.] is the greatest integer function. Then the least value of f(x) is

Let f(x)=(x^(3)-6x^(2)+12x-8)e^(x) Statement 1:f(x) is neither maximum nor minimum at x=2. statement 2: If a function x=2 is a point of inflection,then it is not a point of extremum.

Find least and greatest value of f(x)=e^(x2-4x+3) in [-5,5]

Statement -1 The maximum value of f(x)=1/(3x^4+8x^3-18x^2+60) "is"1/(53) Statement -2 : The function g(x) = 1/(f(x)) attains its minimum value at x=1 and x=-3

Statement-1: Let f(x)=|x^(2)-1|,x in[-2,2]rArr f(-2)=f(2) and hence there must be at least one c in(-2,2) so that f'(c)=0, statement 2:f'(0)=0, where f(x) is the function of S_(1)

Statement I For the function f(x)={:{(15-x,xlt2),(2x-3,xge2):}x=2 has neither a maximum nor a minimum point. Statament II ff'(x) does not exist at x=2.

Find the greatest value of the function f(x)=(2)/sqrt(2x^(2)-4x+3)