1. For f(a) = 4r* ++ logs(4) – 4e" + Vä+e* find f'(x). Use only shotcuts discussed in class.

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Chapter1: Functions And Models
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Math 142 Quiz 6: Take-Home-copyright Maya Johnson, Spring 2021
1
1. For f(x)
= 4x" +
5
+log5(x) – 4e* + Vx+e* find f' (x). Use only shortcuts discussed in class.
2. For a certain company that sells beds, the revenue function, R(x)=300(0.979)*, in dollars, when x beds are sold
is given. Find the rate of change of revenue when 400 beds are sold. Interpret your answer. (Include a sentence
as discussed in class to interpret the when, what, how, and by how much.) (Include units.)
Transcribed Image Text:Math 142 Quiz 6: Take-Home-copyright Maya Johnson, Spring 2021 1 1. For f(x) = 4x" + 5 +log5(x) – 4e* + Vx+e* find f' (x). Use only shortcuts discussed in class. 2. For a certain company that sells beds, the revenue function, R(x)=300(0.979)*, in dollars, when x beds are sold is given. Find the rate of change of revenue when 400 beds are sold. Interpret your answer. (Include a sentence as discussed in class to interpret the when, what, how, and by how much.) (Include units.)
Math 142 Quiz 6: Take-Home-copyright Maya Johnson, Spring 2021
2
3. Find the derivative of the following functions. Use only shortcuts discussed in class. Do Not Simplify.
(a) f(x) = (2x³ +4x-2)(1+log2(x))
5x-1+e*
(b) f(x):
4x2 +2*
4. For a certain company that sells a certain medical machine, the profit function, P(x) = xln(x), in dollars, when
x machines are made and sold is given. (Include proper units for all parts.)
(a) Find the marginal profit when 20 machines are made and sold. Interpret your answer. (Include a sentence
as discussed in class to interpret the when, what, how, and by how much.)
(b) Find both the approximate and exact profit of selling the 21st machine.
(c) Find both the approximate and exact profit of selling 21 machines.
Transcribed Image Text:Math 142 Quiz 6: Take-Home-copyright Maya Johnson, Spring 2021 2 3. Find the derivative of the following functions. Use only shortcuts discussed in class. Do Not Simplify. (a) f(x) = (2x³ +4x-2)(1+log2(x)) 5x-1+e* (b) f(x): 4x2 +2* 4. For a certain company that sells a certain medical machine, the profit function, P(x) = xln(x), in dollars, when x machines are made and sold is given. (Include proper units for all parts.) (a) Find the marginal profit when 20 machines are made and sold. Interpret your answer. (Include a sentence as discussed in class to interpret the when, what, how, and by how much.) (b) Find both the approximate and exact profit of selling the 21st machine. (c) Find both the approximate and exact profit of selling 21 machines.
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