Calculus problem
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Let f(x)=x^(4)â?'6x^(3)+12x^(2). Find (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c) the open intervals on which f is concave up, (d) the open intervals on which f is concave down, and (e) the x-coordinates of all inflection points.
(a) f is increasing on the interval(s) =
(b) f is decreasing on the interval(s) =
c) f is concave up on the open interval(s) =
(d) f is concave down on the open interval(s) =
(e) the x coordinate(s) of the points of inflection are =
Notes: In the first four boxes, 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 box, your answer should be a comma separated list of x values or the word "none".
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Solution Summary
The expert examines a calculus problem for intervals.
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I'm also attaching the graph of the function f(x)=x^4-6x^3+12x^2 and its first and second derivatives.
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