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

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

Answers (1)

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.

 

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