)evaluating a polynomial limit analytically you should have learned by now the process for finding the derivative of a polynomial (as another polynomial). write a program that will read in from the user a cubic polynomial f(x) (as a set of 4 coefficients), and use this to compute the derivative polynomial (i. e. compute the three coefficients of the derivative f’( then, read in a value for x from a user, and evaluate the derivative polynomial at that x. print out that value. b) evaluating a polynomial derivative numerically

were is the equation

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.