How do you find the exact relative maximum and minimum of the polynomial function of #f(x) = x^3-6x^2+15#?
1 Answer
Mar 13, 2016
Relative maximum:
Relative minimum:
Explanation:
Relative maximums and minimums occur whenever the derivative equals 0. Using the power rule, we find the derivative is:
Setting it equal to
To find the exact minimum and maximum, we evaluate these two
Looking at the graph of the function, we can see that there is indeed a local max at
graph{x^3-6x^2+15 [-42.95, 49.5, -19.6, 26.67]}