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

f(x)={((pi)/(2)+x)(x =(pi)/(4)) then (A)f(x) has no point of local maxima

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

Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima at x=1 f(x) has local minima at x=1 f(x) does not have any local extrema at x=1 f(x) has a global minima at x=1

f(x)= {{:(x, 0 (A) g(x) has no local maxima (B) g(x) has no local minima (C) g(x) has local maxima at x=1+ln2 and local minima at x=e (D) g(x) has local minima at x=1+2ln2 and local maxima at x=e

At x=af^(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 (i) f(x) is maxima at x=a (iii) f(x) has neither max nor min at x=a (iv) none of these

f(x) is cubic polynomial with f(x)=18a n df(1)=-1 . Also f(x) has local maxima at x=-1a n df^(prime)(x) has local minima at x=0 , then the distance between (-1,2)a n d(af(a)), where x=a is the point of local minima is 2sqrt(5) f(x) is increasing for x in [1,2sqrt(5]) f(x) has local minima at x=1 the value of f(0)=15