Get Answers to all your Questions

header-bg qa

Please solve rd  sharma class 12 Chapter 17 Maxima and Minima  excercise 17.1 question 9  maths textbook solution

Answers (1)

best_answer

Answer:

Minimum value and maximum value does not exist.

Hint:

f(x) have max value in [a, b] such that f(x) ≤ f(c) for all x belongs to [a ,b] and if f(x) ≥ f(c) then f(x) has minimum value.

Given:

f(x)=x^{3}-1 \text { on } R

Explanation:

We have,

f(x)=x^{3}-1

We can see that, the value of f(x) increases rapidly. So, it does not attain maximum value.

Also, f(x) can be made as small as possible. So it does not attain minimum value.

Hence, the given function does not have maximum value and minimum value.

 

Posted by

Infoexpert

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads