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Prove that the following function do not have maxima or minima: f(x) = ex

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प्रश्न

Prove that the following function do not have maxima or minima:

f(x) = ex

योग
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उत्तर

Given function, f‘(x) = ex

∴ f‘(x) = ex

= f' (x) = ex ∀ x ∈ R

f' (x) = ex > 0 ∀ x ∈ R

f has no critical point.

Thus, there is no point at which f can have an extremum.

∴ f has neither a maximum nor a minimum.

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अध्याय 6: Application of Derivatives - Exercise 6.5 [पृष्ठ २३२]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.5 | Q 4.1 | पृष्ठ २३२

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