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Find the maximum and minimum value, if any, of the following function given by g(x) = x3 + 1 - Mathematics

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प्रश्न

Find the maximum and minimum value, if any, of the following function given by g(x) = x3 + 1.

योग

उत्तर

Here,  g(x) = x3 + 1.

g'(x) = 3x2 which is positive for x ∈ R.

g'(x) = 3x2 ≥ 0; ∀ x ∈ R

Hence g is an increasing function.

∴ It has no minimum and maximum value.

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अध्याय 6: Application of Derivatives - Exercise 6.5 [पृष्ठ २३१]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 6 Application of Derivatives
Exercise 6.5 | Q 1.4 | पृष्ठ २३१

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