Find intervals of increase/decrease, max/min values, intervals of concavitiy. f(x)=x^3 -3x^2 +2

Find intervals of increase/decrease, max/min values, intervals of concavitiy.

f(x)=x^3 -3x^2 +2

Expert Solution

milcah answered 2 years ago

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f....

a) Let f(x) = −x^4 − 4x^3 . (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph) b) A farmer wants to fence in an area of 6 km2 in a rectangular field and then divide it in half with...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)

(x^3-3x^2-x+3)/(x^2+x-x) find critical numbers ,relative min/max and graph the function

1) Find the exact absolute max and exact min for f(x)=x^3-3x^2-6x+4 on the closed interval [0,3]...

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