At `x=a f^I(x)=0,f^(II)(a)=0` also `f^( III)(a)=0 and f^(IV)=+ve,` then (i) f(x) is minima at `x=a` (ii) f(x) is maxima at `x=a` (iii) f(x) has neither max nor min at `x=a` (iv) none of these

If f(x)=int_0^x(sint)/t dt ,x >0, then (a) f(x) has a local maxima at x=npi(n=2k ,k in I^+) (b) f(x) has a local minima at x=npi(n=2k ,k in I^+) (c) f(x) has neither maxima nor minima at x=npi(n in I^+) (d) (f)x has local maxima at x=npi(n=2k -1, k in I^+)

If f(x)=int_0^x(sint)/t dt ,x >0, then (a) f(x) has a local maxima at x=npi(n=2k ,k in I^+) (b) f(x) has a local minima at x=npi(n=2k ,k in I^+) (c) f(x) has neither maxima nor minima at x=npi(n in I^+) (d) (f)x has local maxima at x=npi(n=2k +1, k in I^+)

If f(x)=mx+c and f(0)=1=f'(0) then f(-2)= (i) 1 (ii) -1 (iii) 3 (iv) +-1

If f(x)=max{x^(2),2^(x)}, then if x in(0,1),f(x)=(i)x (ii) 2^(x) (iii) Both are equal (iv) none of these

Find the range of the following (i) f(x) = x^(2) (ii) f(x) = x (iii) f(x) = x^(2) + 2 (iv) f(x) = x^(3)

Find the range of the following (i) f(x) = x^(2) (ii) f(x) = x (iii) f(x) = x^(2) + 2 (iv) f(x) = x^(3)

If f(x)="cos"^(2)x+"sec"^(2)x , then (i) f(x)lt1 (ii) f(x)=1 (iii) 2ltf(x)lt1 (iv) f(x)ge2

Let f(x)={(sin(pi x))/(2),0 =1f(x) has local maxima at x=1f(x) has local minima at x=1f(x) does not have any local extrema at x=1f(x) has a global minima at x=1