Use a graph to decide which of the following seems to be the correct derivative of the function in Exercises 83. y 1 = 2 x y 2 = 4 − 4 x x 2 + 1 y 3 = 4 − 4 x 2 ( x 2 + 1 ) 2 y 4 = 4 x 2 − 4 ( x 2 + 1 ) 2 y 3
Use a graph to decide which of the following seems to be the correct derivative of the function in Exercises 83. y 1 = 2 x y 2 = 4 − 4 x x 2 + 1 y 3 = 4 − 4 x 2 ( x 2 + 1 ) 2 y 4 = 4 x 2 − 4 ( x 2 + 1 ) 2 y 3
Solution Summary: The author explains how to calculate the correct derivative of the function f(x)=4x
The pounds of bananas sold each week at all Metro Seattle Albertsons stores as a function of price, p , in dollars/pound(lb.) is given by q(p) = 100e7.5-1.5p1. Express the Revenue function in terms of p and then find both the first and second derivatives of the revenue function. Type each of these in your text box, using appropriate standard mathematical formatting notation (like that shown above) in Excel.
2. Use Excel over an interval of [0, 6] in increments of .25 to create values for all 3 of your functions from part 1. This is hard! You should be getting the beginning values shown on the next page. Keep at it until you do!! You must create these values by typing in and using the correct formulas.
3. Use Excel to determine exactly where there are any Maximum and/or Minimum values for Revenue. In your text box, explain fully and completely how you determine where to look, and how you know from the First Derivative Test that you have a maximum or a minimum value.
4. Write a…
Suppose that the function P (x) represents the profit of a company (in dollars)
when x units are produced and sold. Interpret P (300) and P' (300). Include
the units for each in your interpretation.
Consider the function f(x) = x². Find all lines tangent to the graph
of f which pass through the point (1, -3). Each line should be
written in slope-intercept form.
Thomas' Calculus: Early Transcendentals (14th Edition)
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