Efigure below shows the derivative f' of a function f. if f(20) equals 100, estimate the maximum value attained by by f

Max occurs at x=50 where F'(x) = 0.

We need to find value for F(50) using fundamental theorem of calculus:



Where A is the estimated Area under the graph.
If we assume the shaded region is close to a right triangle then the Area is (1/2)*30*20 = 300

Therefore