Home
Class 12
MATHS
Let f(x)=x^(m/n) for x in R where m ...

Let `f(x)=x^(m/n)` for `x in R` where m and n are integers , m even and n odd and `0

A

` f(x)` decreases on `(-oo, 0)`

B

`f(x)` increases on `[0, oo)`

C

`f(x)` increases on `(-oo, 0]`

D

`f(x)` decreases on `[0, oo)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) CHECKING MONOTONOCITY AT POINT OR IN AN INTERVAL|1 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-II) ( Multiple Correct ) PROVING INEQUATION BY MONOTONOCITY|1 Videos
  • MONOTONOCITY

    MOTION|Exercise Exercise - 2 (Level-I) ( Objective Problems ) (MIXED PROBLEMS )|2 Videos
  • METHOD OF DIFFERENTIATION

    MOTION|Exercise EXERCISE - 4 LEVEL -II|5 Videos
  • PARABOLA

    MOTION|Exercise EXERCISE - IV|33 Videos

Similar Questions

Explore conceptually related problems

n|sin x|=m|cos|in[0,2 pi] where n>m and are positive integers

Let h(x)=x^((m)/(n)) for x in R, where +m and n are odd numbers and 0

If : f(x)=root(n)((x^m)), where n inN , is even function then m is

x^(m)xx x^(n)=x^(m+n) , where x is a non zero rational number and m,n are positive integers.

If (x-a)^(2m)(x-b)^(2n+1), where m and n are positive integers and a>b, is the derivative of a function f then-

f(x)={(sgnx)^(sgnx)}^(n),n is an odd integer. Determine whether it is odd or even

lim_(x rarr1)(x^((1)/(n))-1)/(x^((1)/(m))-1)(m and n are integers is equal

If f(x)=1+x^(m)(x-1)^(n), m , n in N , then f'(x)=0 has atleast one root in the interval