# Question 6 let calculate correct correct recall the

• Test Prep
• 15
• 96% (73) 70 out of 73 people found this document helpful

This preview shows page 5 - 13 out of 15 pages.

Question 6 Let . Calculate . Correct! Correct!
Recall the rule: Then 2 / 2 pts Question 7 Let . Calculate . Is it possible to determine the sign of ? . . .
; is positive for all . Correct! Correct! ; is negative for all .
Recall the rule: Then is positive for any value of . There are two ways to see this: First, represents exponential growth, so is an increasing function and therefore for all . Second, . and are both positive, and is positive for all , so for all . 2 / 2 pts Question 8 Let , for . Calculate the derivative of . Correct! Correct!
Recall the rule: and We have 2 / 2 pts Question 9 For , calculate Hint: Before calculating the derivative, use a rule of logarithms to re-write . . Correct! Correct!
Recall: and 2 / 2 pts Question 10 Let . Calculate . Correct! Correct!
Recall: 2 / 2 pts Question 11 Let . Find . Correct! Correct!
Use the power rule and the rule for the derivative of to calculate , then evaluate at . 2 / 2 pts Question 12 Let . Calculate the relative rate of change at . Correct! Correct!
Recall that the relative rate of change is Use the power rule to compute . :
2 / 2 pts