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

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

A

h is increasing whenever f is increasing

B

h is increasing whenever f is decreasing

C

h is decreasing whenever f is decreasing

D

nothing can be said in general

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

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

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (LINKED COMPREHENSION TYPE QUESTIONS)|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I ) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|74 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)-a(f(x))^(2)+a(f(x))^(3) for all real x h(x) increases as f(x) increases for all x if

If f is function such that f(0)=2, f(1)=3 and f(x+2)=2f(x)-f(x+1) for every real x, then f(5) 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'(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

Let f be a function such that f(xy)=(f(x))/y for all positive real numbers x, y. If f(20) = 15, then f(50) =

Let 'f' be a real valued function defined for all x in R such that for some fixed a gt 0, f(x+a)= 1/2 + sqrt(f(x)-(f(x))^(2)) for all 'x' then the period of f(x) is

Let f(x) be a real valued function with domain R such that f(x+p)= 1 +[2-3f(x)+3(f(x))^(2)-(f(x))^(3)]^(1//3) holds good AA x in R and for some +ve constant 'p' then the period of f(x) is