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Avg. Rate of Change /Find Derivative /Instant Rate of Change

For the function f(x)=(3x)/(x+2)

a. find the average rate of change from x=2 to x=5

b. find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)

c. use part b to find the rate of change of f(x) at x=2

Solution Summary

Step by step swolution provided.