Find the maximum or minimum values, if any, of the following fun

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 Multiple Choice QuestionsShort Answer Type

211.

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 1)+ 10

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212.

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
(2 x – 1)+ 3

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213.

Find the maximum and minimum values, if any, of the following functions without using the derivatives:
4x2 – 4x + 11

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214.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
x3 + 1


Let f (x) = x3 + 1
Now f (x) → when x → ∞ and f (x) → – ∞ when x → – ∞
∴  f (x) has neither maximum nor minimum.

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215.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
| x + 2 |

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216.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
– | x + 1 | + 3

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217.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin (2x + 3)

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218.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin 2x + 5

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219.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
|sin 4x + 3|

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220.

Find the maximum or minimum values, if any, of the following functions without using the derivatives:
sin (sin x)

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