﻿ The difference between the greatest and least values of the function  : Kaysons Education

# The Difference Between The Greatest And Least Values Of The Function

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## Question

### Solution

Correct option is

9/4

The given function is periodic, with period 2π. So the difference between the greatest and least values of the function is the difference these values on the interval [0, 2π]. We have

Hence x = 0, 2π/3, π and 2π are the critical points. Also, f (0) = 1 + 1/2 – 1/3 = 7/6, f (2π/3) = –13/12, f (π) = –1/6 and f (2π) = 7/6. Hence the greatest value is 7/6 and the least value is – 13/12. Thus

the  difference is

#### SIMILAR QUESTIONS

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Q3

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Q4

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Q5

Suppose f is differentiable on R and a ≤ f’(x) ≤ b for all x ∈ R where ab> 0. If f (0) = 0, then

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Q9

and x = 2, then