Determine intervals where the function

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Reference no: EM13180267

1. Find all critical points of the function f (x) = -3x x + 2 Create a sign chart for the first derivative and based on the sign chart state intervals where the function is increasing and decreasing state exact values for the x and y coordinates for any relative extrema.

2. Find the absolute maximum and absolute minimum value of the function f (t) = t 9 - t on the interval [5,9].

3. Determine intervals where the function f (x) = x2 (x - 3)2
is increasingand decreasing and determine all relative extrema.
3.1 Create a sign chart for the first derivative indicating the intervals of increase and decrease and the relative extrema.

4. Determine intervals where the function f (x) = x(x + 4)^2/3
is increasingand decreasing and determine all relative extrema.
4.1 Create a sign chart for the first derivative indicating the intervals of increase and decrease and the relative extrema.

Reference no: EM13180267

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