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