If `p(x)` is a polynomial of degree 3 satisfying `p(-1)=10 , p(1) =-6 and p(x)` has maxima at `x=-1 and p'(x)` has minima at `x=1,` find the distance between the local maxima and local minima of the curve.

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(1) is

P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p(x) has maxima at x = -1 and p(x) has minima at x=1 then The value of P(2) is (a) -15 (b) -16 (c) -17 (d) -22 (c) -17 (d) -22

Find the points of local maxima and minima of the function f(x)=x^(2)-4x .

Let f(x) be a polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8.

Find all the points of local maxima and local minima of the function f(x)=x^3-6x^2+12 x-8 .

If P (x) is polynomial of degree 4 such than P (-1)=P (1) =5 and P (-2) =P(0)=P (2) =2 find the maximum vaue of P (x).

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 and local minima of the function f(x)=2x^(3)-3x^(2)-12x+8 .

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