Find 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
Let f (x) = sin 2x + 5
We know that – 1 ≤ sin 2x ≤ 1
⇒ – 1 + 5 ≤ sin 2x + 5 ≤ 1 + 5 ⇒ 4 ≤ f (x) ≤ 6
∴ maximum value of f (x) is 6 and minimum value of f (x) is 4.
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)