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Given f(x)= x3 - 6x2-15x+30 Determine f ’(x) Define “critical point” of a function. Then determine...

Given f(x)= x3 - 6x2-15x+30

  1. Determine f ’(x)
  1. Define “critical point” of a function. Then determine the critical points of f(x).

  1. Use the sign of f ’(x) to determine the interval(s) on which the function is increasing and the interval(s) on which it is decreasing.

  1. Use the results from (c) to determine the location and values (x and y-values of the relative maxima and the relative minima of f(x).
  1. Determine f ’’(x)

  1. On which intervals is the graph of f(x) concave up? Concave down? Explain. Determine any points of inflection.
Math   Calculus   
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