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## Homework Statement

x(t) = -0.01t^3 + t^2 - 20t + 4

## Homework Equations

Min is when t = 12.3

Max is when t = 54.4

## The Attempt at a Solution

I got -0.03t^2 + 2t - 20 as the derivative.

I substituted in t = 12.3 and 54.4 and got 0.02 and 0.19 which don't seem right at all.

Because: when t is 12.3, the position(x) is -100. When t is 54.4 the position(x) is 250.