Let `f(x)` be a cubic polynomial which has local maximum at `x=-1 \ and \ f(x)` has a local minimum at `x=1.``if f(-1)=10 \ and \ f(3)=-22 ,` then one fourth of the distance between its two horizontal tangents is ____________

Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x) has a local minimum at x =1, If g (-1) =10 g, (3) =- 22, then

If f(x) is a cubic polynomil which as local maximum at x=-1 . If f(2)=18,f(1)=-1 and f'(x) has minimum at x=0 then

Let p(x) be a real polynomial of least degree which has a local maximum at x=1 and a local minimum at x=3. If p(1)=6a n dp(3)=2, then p^(prime)(0) is_____

Let p(x) be a real polynomial of least degree which has a local maximum at x=1 and a local minimum at x=3. If p(1)=6a n dp(3)=2, then p^(prime)(0) is_____

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

Let f(x) be a cubic polynomical such that f'(x)=0 at x=1 and x=3, f(1)=6,f(3)=2 , then value of f(-1) is

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^(3) find the point at which f(x) assumes local maximum and local minimum.

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

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