Let f(x) be a polynomial function of sec...

Let `f(x)` be a polynomial function of second degree. If `f(1)= f(-1)` and
a, b,c are in A.P, the `f'(a),f'(b) and f'(c)` are in

A

A.P.

B

G.P.

C

H.P.

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If a function f (x) is given as f (x) =x ^(2) -3x +2 for all x in R, then f (-1)=

If f(x)=x^3+b x^2+c x+d and 0 < b^2 < c , then f(x) is

IF f(x)=x,-1lexle1 , then function f(x) is

If x ne 1 and f(x)= (x+1)/(x-1) is a real function , then f(f(f(2))) is

Let f be a real valued function, satisfying f (x+y) =f (x) f (y) for all a,y in R Such that, f (1) =a. Then , f (x) =

Let f(x) be a polynomial of degree four having extreme values at x=1 and x=2. IF lim_(xto0) [1+(f(x))/x^2]=3 , then f(2) is equal to

If f(x), g(x), h(x) are polynomials in x of degree 2 If F(x)=|[f,g,h],[f',g',h'],[ f'', g'', h'' ]| then F'(x) is

Let g(x) be the inverse of the function f(x), and f'(x)=1/(1+x^3) then g'(x) equals