The point of maximum curvature can be found by solving for the derivative of y with respect to x. At this point, the slope will either increase or decrease from 9 and it is at its steepest. To find out what happens after this point, we need to take a look at other derivatives. The question that you should ask yourself when looking for the answer is “What does the curve do just before it reaches its max?” To find the point of maximum curvature, we need to take a derivative. At this point in time, the slope will either increase or decrease from its original value and it is at its steepest. What you want to ask yourself when looking for the answer is “What does the curve do just before it reaches its max?” After solving for y’ = 0 using differentiation on our equation, we can see that if x > -ln(y) then y’ = -x/y^0 which would have negative values as an input. The same goes if x <= ln(-y), where y' = (x+ln(-y))/(-y). In these cases there are no points of maxima because they