Question

a) If g(x) = x3−6x2 −15x + 7, find the interval(s) on which g is increasing/decreasing, and identify the location(s) of any local max/mins. Make a sign chart for g'

b)  Suppose f(x) =(x2 −3)/(x2 + 3) [Note that x2 + 3 > 0 for all x.] Using the fact that f''(x) = −36(x2 −1)/(x2 + 3)3 find the interval(s) on which f is concave up/concave down, and identify the location(s) of any inflection points. Make a sign chart for f''

Answer 1

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