1) df/dx = 3x^2 -12 = 2(x+2)(x-2)
There are critical points (where the derivative is zero) at x = +2 and -2. x=2 is a relative minimum. f(x) increases (when x increases) for x > +2 and decreases for
-2 < x < 2
2) That equation has an absolute minimum at x = 4.
Choose the statement that is true for the graph f(x) =x^3-12x.
Answer: f(x) decreases for x >-2
2) Which type of critical point, if any, is present in the graph of f(x)=(x-4)^5+1
Answer: none
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