Adam Janky

Consider the following. y = (2x2 + 5)(x3 − 25x) at (5, 0) (a) At the indicated point, find the slope of the tangent line. (b) Find the instantaneous rate of change of the function.

Find the coordinates of points where the graph of f(x) has horizontal tangents. As a check, graph f(x) and see whether the points you found look as though they have horizontal tangents. f(x) = −x3 + 6x2 − 9x + 13 (x, y) = ( ? ) (smaller x-value) (x, y) =...

The number of units of weekly output of a certain product is represented by the equation shown below, where x is the number of workers on the assembly line. There are presently 68 workers on the line. Q(x) = 200x + 4x2 (a) Find Q'(x) and estimate the chan...