18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation y= 2x-12?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation
у 3D 2х - 12?
19. Determine the derivative of the function fx)
3+e3*
20. Determine the first and second derivative of the function Ax) = 3xe*
2
21. Calculate f“(x) for the function Ax) = 14*. It may help to first determine a pattern.
%3D
r21
22. Determine the derivative of the function f(x) = x(÷)* at the point with x-coordinate x = 3.
23. Determine the maximum and minimum value of the function f(x) = -xe* + 2.
24. A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the
function (x) = x2 + 2 where the price, x, in dollars determines the number of cups sold per day, n, in
hundreds. What is the price that maximizes the number of cups sold? How many cups are sold at this price?
25. a. For the function f(x) = x*e*, determine the intervals of increase and decrease.
b. Determine the absolute minimum value of f(x).
Transcribed Image Text:18. At what point on the graph of f(x) = 2xe" is the tangent parallel to the line with equation у 3D 2х - 12? 19. Determine the derivative of the function fx) 3+e3* 20. Determine the first and second derivative of the function Ax) = 3xe* 2 21. Calculate f“(x) for the function Ax) = 14*. It may help to first determine a pattern. %3D r21 22. Determine the derivative of the function f(x) = x(÷)* at the point with x-coordinate x = 3. 23. Determine the maximum and minimum value of the function f(x) = -xe* + 2. 24. A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the function (x) = x2 + 2 where the price, x, in dollars determines the number of cups sold per day, n, in hundreds. What is the price that maximizes the number of cups sold? How many cups are sold at this price? 25. a. For the function f(x) = x*e*, determine the intervals of increase and decrease. b. Determine the absolute minimum value of f(x).
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