Chapter 2: Q 25 (page 238)
: Find the derivatives of the function
Chapter 2: Q 25 (page 238)
: Find the derivatives of the function
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Get started for freeUse the definition of the derivative to find the equations of the lines described in Exercises 59-64.
The line tangent to the graph of at the point
Each graph in Exercises 31โ34 can be thought of as the associated slope function f' for some unknown function f. In each case sketch a possible graph of f.
Find the derivatives of the functions in Exercises 21โ46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
The total yearly expenditures by public colleges and universities from 1990 to 2000 can be modeled by the function , where expenditures are measured in billions of dollars and time is measured in years since 1990.
(a) Estimate the total yearly expenditures by these colleges and universities in 1995.
(b) Compute the average rate of change in yearly expenditures between 1990 and 2000.
(c) Compute the average rate of change in yearly expenditures between 1995 and 1996.
(d) Estimate the rate at which yearly expenditures of public colleges and universities were increasing in 1995.
A tomato plant given ounces of fertilizer will successfully bear pounds of tomatoes in a growing season.
(a) In real-world terms, what does represent and what are its units? What does represent and what are its units?
(b) A study has shown that this fertilizer encourages tomato production when less than ounces are used, but inhibits production when more than ounces are used. When is positive and when is negative? When is positive and when is negative?
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