Let f (x) = 6x^2/x-6. Find the open intervals on which f is increasing (decreasi
ID: 2837087 • Letter: L
Question
Let f (x) = 6x^2/x-6. Find the open intervals on which f is increasing (decreasing). Then determine the x-coordinates of all relative maxima (minima). 1. f is increasing on the intervals 2. f is decreasing on the intervals 3. The relative maxima off occur at .r = 4. The relative minima off occur at .r = Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word ''none''. In the last two, your answer should be a comma separated list of x values or the word ''none''.Explanation / Answer
ON DIFFERENTIAITING WE GET,
(x -6)12x - 6x^2 = 0
6x^2 - 72x = 0
x(x-12) = 0
1) (-inf,0),(12,inf)
2) (0,12)
3) relative maxima , X = 12
4) relative minima, X = 0
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