5. Graphical Applications of Derivatives

107. Marginal cost The accompanying graph shows the hypothetical cost c=f(x) of manufacturing x items. At approximately what production level does the marginal cost change from decreasing to increasing?

93. The accompanying figure shows a portion of the graph of a twice-differentiable function y=f(x). At each of the five labeled points, classify y' and \(\y\)'' as positive, negative, or zero.

" style="" width="254">

99. In Exercises 99 and 100, the graph of f' is given. Determine x-values corresponding to inflection points for the graph of f.

Points of inflection Find the x-coordinate of the point(s) of inflection of f(x) = tanh² x.

131. Let f(x) = x * e^(−x).

b. Find all inflection points for f.

132. Let f(x) = e^x / (1 + e^(2x)).

b. Find all inflection points for f.