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^+)`

Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor minima.

Show that the function f(x)=4x^3-18 x^2+27 x-7 has neither maxima nor minima.

let f(x)=(x^2-1)^n (x^2+x-1) then f(x) has local minimum at x=1 when

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) 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 (A) the distance between (-1,2)a n d(af(a)), where x=a is the point of local minima is 2sqrt(5) (B) f(x) is increasing for x in [1,2sqrt(5]) (C) f(x) has local minima at x=1 (D)the value of f(0)=15

Find the points of local maxima or minima for f(x) =" sin "2x -x, x in (0,pi)

Find points of local maxima // minima of f(x) =x^(2) e^(-x) .

The function f(x)=x^(3)-ax has a local minimum at x=k , where k ge 2, then a possible value of a is

The function (sin(x+a))/(sin(x+b)) has no maxima or minima if b-a=npi,n in I b-a=(2n+1)pi,n in I b-a=2npi,n in I (d) none of these

Suppose f(x) is differentiable at x=a . Then , necessary condition for f(x) to possess local maxima or local minima at x=a is