Compute the higher degree derivatives
Compute the higher degree derivatives till it becomes zero: f(x) = 2x^6 + 5x^4 - 2x^3 + x^2 - 10 f(x) = 8x^4 - 4x^3 + 5x^2 + x + 2.
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Determine a recurrence relation for the number of ways to go n miles by fast walking at 2 miles per hour or jogging at 4 miles per hour or running at 8 miles per hour; at the end of each hour a choice is made of how to go the next hour.
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The critical values of f(x) = 4x3 - 48x + 24 are x = -2 and x = 2. Employ the first derivative test to find out which of the critical values correspond to a local minimum.
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