Home
Class 11
MATHS
Find the absolute maximum and absolute m...

Find the absolute maximum and absolute minimu values of `f(x) = x^(40) - x^(20)` on [0, 1].

Text Solution

Verified by Experts

The correct Answer is:
`-(1)/(4)`
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Examples|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise Advanced Analytical Solved Examples|20 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

Find the absolute maximum and absolute minimum values of f(x)=x^(40)-x^(20)" on "[0,1]

Find the absolute maximum and absolute minimum of f(x) = 2x^(3) - 3x^(2) - 36x + 2 on the interval [0, 5].

Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(2) - 42x - 8 on [-8, 2]

Find the maximum value of f(x) = x^(3)(2-x)^(4)

Prove that the following functions do not have absolute maximum and absolute minimum. x^(3) + x^(2) + x + 1 in R

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

The maximum and minimum values of f(x)=(x-1)(x-2)(x-3) are

Find the absolute maximum value and absolute minimum value of the following functions on the domain specified against the function. f(x) = 2|x| on [-1, 6]