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

f(x)={c^x ,0lt=x1 2-c^(x-1),1

A cubic polynomial function f(x) has a local maxima at x=1 and local minima at x=0 .If f(1)=3 and f(0)=0, then f(2) is

Let f(x) be a polynomial of degree 3 ,such that f(1)=-6,f(-1)=10,f(x) has a critical point at x=-1 and f'(x) has a critical point at x =1,then f(x) has a local maxima at x

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

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^(+))

Let f(x)={1x-2l+a^(2)-9a-9 if x =2 if f(x) has local minimum at x=2, then

Let f(x) be a polynomial of degree 3 such that f(-1) = 10, f(1) = -6, f(x) has a critical point at x = -1 and f'(x) has a critical point at x = 1. Then f(x) has a local minima at x = ____

Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.