Let `f(x)={1 x-2l+a^2-9a-9 if x<2, 2x-3 if x>=2` if `f(x)` has local minimum at `x=2,` then

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

Let f(x) {(|x-2| +a",","if" x le 2),(4x^(2) + 3x +1",","if" x gt 2):} . If f(x) has a local minimum at x=2, then

Let f(x) = {(|x-1| + a,"if " x le 1),(2x + 3,"if " x gt 1):} . If f(x) has a local minimum at x=1, then

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

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

The function f(x) =x/2+2/x has a local minimum at

Let f(x) be a polynomial of degree 3 having a local maximum at x=-1. If f(-1)=2,\ f(3)=18 , and f^(prime)(x) has a local minimum at x=0, then distance between (-1,\ 2)a n d\ (a ,\ f(a)), which are the points of local maximum and local minimum on the curve y=f(x) is 2sqrt(5) f(x) is a decreasing function for 1lt=xlt=2sqrt(5) f^(prime)(x) has a local maximum at x=2sqrt(5) f(x) has a local minimum at x=1