Question

The maximum value of the function f() = is………….​

Answer 1

Answer:

We say that f has an absolute maximum (or global maximum) at c if f(c) ≥ f(x) for all x in the domain of f. If f has an absolute maximum at c, then f(c) is called the maximum value of f. Let f be a function.

Answer 2

Answer:

A function f(x) is said to attain a maximum at x = a if there exists a neighbourhood (a – δ, a + δ) such that f(x) < f(a) for all x ∈ (a – δ, a + δ), x ≠ a ⇒ f(x) – f(a) < 0 for all x ∈ (a – δ, a + δ), x ≠ a In such a case, f(a) is said to be the maximum value of f(x) at x = a.