Home
Class 12
MATHS
if f(x)=1+2x^2+4x^4+6x^6.....100x^100 is...

if `f(x)=1+2x^2+4x^4+6x^6.....100x^100` is a polynomial in real variable x, then `f(x)` has

A

neither a maximum nor a minimum

B

only one maximum

C

only one minimum

D

one maximum and one minimum

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1E|6 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1F|5 Videos
  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1C|5 Videos
  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

If f(x)=1+x+x^(2)+.......+x^(100) then f'(1)=-

Let f(x) is a cubic polynomial which is having local maximum at (1, 2) and f'(x) has local extremum at x = 0. If f(0) = 1 then answer the following Number of real roots of the equation f(x) - f(-x) = 6x - 10 is

Consider the polynomial f(x)=1+2x+3x^2+4x^3 . Let s be the sum of all distinct real roots of f(x) and let t=|s|.

If the polynomial f(x)=x^(4)-6x^(3)+16x^(2)-25x+10 is divided by another polynomial x^(2)-2x+k the remainder comes out to be x+a, find k and a.

Let f(x) be a non-constant polynomial with real coefficients such that f((1)/(2))=100 and f(x) le 100 for all real x. Which of the following statements is NOT necessarily true ?

LEt f(x)=2^(100)x+1 and g(x)=3^(100)x+1 Then the set of real numbers x such that f(g(x))=x is

Let f(x)=4x^(2)-4ax+a^(2)-2a+2 be a quadratic polynomial in x ,a be any real number.If x-coordinate ofd vertex of parabola y=f(x) is less thna 0 and f(x) has minimum value 3 for x in[0,2] then value of a is

Consider the polynomial f (x)=1+2x+3x^(2)+4x^(3). Let s be the sum of all distinct real roots of f(x) and let t=|s|

f(x)=(x^(2)-4)|x^(3)-6x^(2)+11x+6|+(x)/(1+|x|) is not diffrentiable at how many points?