A cubic polynomial function `f(x)` has a local maxima at
`x=1` and local minima at `x=0` .If `f(1)=3` and
`f(0)=0` ,then `f(2)` is

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 ____________

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

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

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

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

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

f(x) is polynomial function of degree 6, which satisfies ("lim")_(x_vec_0)(1+(f(x))/(x^3))^(1/x)=e^2 and has local maximum at x=1 and local minimum at x=0a n dx=2. then 5f(3) is equal to

Let f(x) is a cubic polynomial with real coefficients, x in R such that f''(3)=0 , f'(5)=0 . If f(3)=1 and f(5)=-3 , then f(1) is equal to-

A polynomial function f(x) satisfies the condition f(x)f(1/x)=f(x)+f(1/x) for all x inR , x!=0 . If f(3)=-26, then f(4)=