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 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 x=2 (b) x=-2 x=0 (d) 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 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

Find the local maximum and local minimum of f(x) = 2x^(3) + 5x^(2) - 4x

Let f(x)={(|x|,for 0 (a) a local maximum (b) no local maximum (c) a local minimum (d) no extremum

Let f(x)=x^(3)+x+1 , let p(x) be a cubic polynomial such that the roots of p(x)=0 are the squares of the roots of f(x)=0 , then

Find local maximum and local minimum values of the function f given by f(x) = 3x^(4) + 4x^(3) – 12x^(2) + 12

If the function f(x)=ax e^(-bx) has a local maximum at the point (2,10), then

Find all points of local maxima and local minima of the function f given by f(x) = x^(3) – 3x + 3.

Let f(x)=(x-1)^4(x-2)^n ,n in Ndot Then f(x) has a maximum at x=1 if n is odd a maximum at x=1 if n is even a minimum at x=1 if n is even a minima at x=2 if n is even