click to play button
click to replay button
4-3-1
X
    00:00 / 00:00
    CC
    We're given the first derivative, so we're going to set that equal and or where it's undefined. So we have zero and five. If we choose something to the right of 5678 a hundred, we're going to get a positive number at 5:00. Because it's multiplicity is odd, it's going to change from positive to negative at 0. Because it's multiplicity is odd, it's going to change from negative to positive. So our original function is going to be increasing from negative Infinity to 0, It's going to be decreasing from zero to five, and it's going to be increasing again from 5:00 to Infinity. So if we're going up and then down and then up, we have a local Max at zero and a local min at 5:00.