# Question: Consider the following function f x 48x 60x2

Consider the following function:

f (x) = 48x – 60x2 + x3.

(a) Use the first and second derivatives to find the local maxima and local minima of f (x).

(b) Use the first and second derivatives to show that f (x) has neither a global maximum nor a global minimum because it is unbounded in both directions.

f (x) = 48x – 60x2 + x3.

(a) Use the first and second derivatives to find the local maxima and local minima of f (x).

(b) Use the first and second derivatives to show that f (x) has neither a global maximum nor a global minimum because it is unbounded in both directions.

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