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

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

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A polynomial equation in x of degree n always has :

If P(x) is a polynomial of the least degree that has a maximum equal to 6 at x=1 , and a minimum equalto 2 at x= 3 ,then int_0^1 P(x)dx equals:

Find all the points of local maxima and local minima of the function f given by f(x) = 2x^(3) – 6x^(2) + 6x +5.

p(x) is a polynomial of degree 1 and q(x) is a polynomial of degree 2. What kind of the polynomial p(x) xx q(x) is ?

Find all the points of local maxima and local minima of the function f given by f(x) = 2x^( 3) – 6x^(2) + 6x +5.