Home
Class 12
MATHS
Find the absolute maximum//minimum value...

Find the absolute maximum`//`minimum value of following function
`f(x) =x^(3)` for ` x in [-2,2]`.

Text Solution

Verified by Experts

The correct Answer is:
(i) max =8, min, =-8
(ii) max `=sqrt(2) ,` min =-1
(ii) max =8 , min =-10
(iv) max =25 , min =-39
(v) max at `x=pi//6` max value `=3//4; ` min at `x=0` and `pi//2` min value `=1//2`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1F|9 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise Part II -1A|9 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise -1D|11 Videos

  • COMBINATORICS

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

Similar Questions

Explore conceptually related problems

Find the maximum and minimum values of the following functions. f(x)=x^(3)-2x^(2)+x+6

Find the maximum and minimum values of the following functions. f(x)=sinx+sqrt(3)cosx

Find the maximum or minimum values of the following functions: (i) x^(3)-2x^(2)+x+3

Find the absolute minimum value of |x|

Find the maximum and minimum values of the following functions. f(x)=2x^(3)-15x^(2)+36x+10

Find the maximum and the minimum values, if any, of the following functions f(x)=|x+3| for all x in Rdot

Find the absolute maximum and minimum values of the function f given by f(x)=cos^2x+sinx , x in [0,\ pi] .

Find the absolute maximum and minimum values of the function f given by f(x)=cos^2x+sinx , x in [0,pi]

Find the absolute maximum and minimum values of a function f given by f(x)=2x^3-15 x^2+36 x+1 on the interval [1,\ 5] .

Find the maximum and minimum values of the following functions. f(x)=(x^(3))/(3)-(x^(2))/(2)-6x+8

Home
Profile