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Find the maximum and minimum value, if any, of the following function given by h(x) = x + 1, x ∈ (−1, 1)

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Question

Find the maximum and minimum value, if any, of the following function given by h(x) = x + 1, x ∈ (−1, 1)

Sum
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Solution

We have, h(x) = x  + 1, 1, -1 < x < 1.

-1 < x < 1

= -1 + 1 < x + 1 < 1 + 1

= 0 < x + 1 < 2

Here, range of f = (0, 2)

∴ f has neither a maximum nor a minimum value.

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Chapter 6: Application of Derivatives - Exercise 6.5 [Page 232]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 6 Application of Derivatives
Exercise 6.5 | Q 2.5 | Page 232

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