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Application Of Derivatives

Question

Find the maximum and minimum values, if any, of the following function without using the derivatives:
4x ²+ 28x + 49

Solution

Let f (x) = 4x² + 28x + 49
= (2x + 7)² ≥ 0 f (x) ≥ 0 ∀ x ∊ R

minimum value of f (x) is 0 and is obtained at

straight x equals negative 7 over 2.

There is no maximum value for the function.