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Find maximum and minimum values , if any...

Find maximum and minimum values , if any , of the function f given by f(x) = `x^(4) + 1 , x in R`.

Text Solution

Verified by Experts

Graph of f(x) = `x^(4) + 1` is as following

From graph , f(x) = 1 if x = 0 also f(x) `ge 1 AA x in R`
Therefore , the minimum value of f is 1 at the point x = 0 . Also it may be observed that f' has no real maximum value .
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