Write down the equation for the curvature of the graph of a function y = f(x). If you have to,
look it up. Also, use the fact that the curve is concave upward to simplify the formula slightly.
Next recall the relationship between the curvature and the radius of curvature of the graph. Again, if you have to,
look it up.
Using this relationship, replace
with the appropriate expression involving
. You should now have an equation involving the three variables ,
y'', and y'.
of the graph of a function y = f(x). If you have to,
of the graph. Again, if you have to,
Go back to Curvature Problem