A function y = f(x) and values of xo and x1 are given. (a) Find the average rate of change of y with respect to x over the interval [xo, xı]. (b) Find the instantaneous rate of change of y with...

13. Answer

Extracted text: A function y = f(x) and values of xo and x1 are given. (a) Find the average rate of change of y with respect to x over the interval [xo, xı]. (b) Find the instantaneous rate of change of y with respect to x at the specified value of xo. (c) Find the instantaneous rate of change of y with respect to x at an arbitrary value of xo. (d) The average rate of change in part (a) is the slope of a certain secant line, and the instantaneous rate of change in part (b) is the slope of a certain tangent line. Sketch the graph of y = f(x) together with those two lines.


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