Home
Class 11
MATHS
Let h(x)=f(x)-a(f(x))^(2)+a(f(x))^(3) fo...

Let `h(x)=f(x)-a(f(x))^(2)+a(f(x))^(3)` for all real x
h(x) increases as f(x) increases for all x if

A

`a in(0.3)`

B

`a in[-2,2]`

C

`a in[3,oo)`

D

`a in [2,oo]`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (INTEGER TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|54 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (MATRIX MATCHING TYPE QUESTIONS)|3 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

Let h(x)=f(x)-(f(x))^(2)+(f(x))^(3) for every real number x . Then

Let h(x)=f(x)-[f(x)]^(2)+[f(x)]^(3) for every real number 'x' then

Given that f(x)gtg(x) for all real x, and f(0)=g(0). Then f(x)ltg(x) for all x belong to

If f(x + 1/2) + f(x - 1/2) = f(x) for all x in R , then the period of f(x) is

f(x) = sin x is increasing in

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f'(3) is

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f(9) is