Home
Class 12
MATHS
Let f(x)=x-(1)/(x) then which one of the...

Let `f(x)=x-(1)/(x)` then which one of the following statements is true?

A

Function is strictly increasing at point x=2

B

Function is strictly increasing at point x=4

C

Function is not increasing at point x=2 and x=4

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1E|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1F|4 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1C|5 Videos

  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Let f be a real valued function such that for any real x f(15+x)=f(15-x)and f(30+x)=-f(30-x) Then which of the following statements is true ?

For function f(x)=(lnx)/(x), which of the following statements are true?

If x = -|x| , then which one of the following statements could be true? I. x = 0 II. x III. x > 0

Let alpha,beta and gamma be the roots of the equation x^(3)-x-1=0 . If P_(k)=(alpha)^(k)+(beta)^(k)+(gamma)^(k),kge1 , then which one of the following statements is not true?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

Let f: R->R be a function defined by f(x+1)=(f(x)-5)/(f(x)-3)AAx in R . Then which of the following statement(s) is/are true?

Let f(x) be a polynomial of degree 5 such that x = pm 1 are its critical points. If lim_(x to 0) (2+(f(x))/(x^(3)))=4 , then which one of the following is true?

If f(x)=x(1-x)^(3) then which of following is true ?

Let f(x) = sin (sin^-1 2x) + cosec (cosec^-1 2x) + tan(tan^-1 2x) , then which one of the following statements is/are incorrect ?

Let f(x) = |x - 1|([x] - [-x]) , then which of the following statement(s) is/are correct. (where [.] denotes greatest integer function.)