Short Answer TypeFind the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 1)2 + 10
Find the maximum and minimum values, if any, of the following functions without using the derivatives:
(2 x – 1)2 + 3
Find the maximum and minimum values, if any, of the following functions without using the derivatives:
4x2 – 4x + 11
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
x3 + 1
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
| x + 2 |
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
– | x + 1 | + 3
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin (2x + 3)
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin 2x + 5
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
|sin 4x + 3|
Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin (sin x)
Let f (x) = sin (sin x)
For any x, – 1 ≤ sin x ≤ 1
⇒ sin (– 1) ≤ sin x ≤ sin 1 {∵ in [– 1, 1] , sin function is increasing}
⇒ – sin 1 ≤ f (x) ≤ sin 1
∴ maximum value of f (x) is sin 1 and minimum value of f (x) is – sin 1.
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