View the step-by-step solution to:

Work to Work on 1) Use the limit definition of a derivative (this was mentioned in class) to derive: 1 y = This problem has actually been fully done...

limits, derivatives, rules, continuous 

Please see attachment 

Work to Work on 1) Use the limit definition of a derivative (this was mentioned in class) to derive: y = 1 This problem has actually been fully done in class. On a test this would be a little more difficult of a problem, because there are a few steps. Just remember to simplify what is inside the limit, combine like terms, and then evaluate. To get credit you must solve it using the limit definition. 2) List out the four rules that have been mentioned in class and listed out. Identify which step they have been used in: = 3 ! + 5 ! + 10 ࠵± ࠵± = ࠵± ( 3 ! + 5 ! + 10 ) ! = ! !" 3 ! + ! !" 5 ! + ! !" ( 10 ) __________________(a) ! = ! !" 3 ! + ! !" 5 ! + 0 __________________(b) ! = 3 ! !" ! + 5 ! !" ( ! ) __________________(c) ! = 3 2 + 5 ( 3 ! ) __________________(d) 3) Assume you are driving your car on the freeway and you look down at the speedometer and read 60 mph (which is the same as 1 mile/minute). How far would you have expected to have travelled after driving another 30 seconds __________________(a) another minute __________________(b) another 5 minutes __________________(c) another hour __________________(d) another 5 seconds __________________ (e) (please leave in fractional form if appropriate) Which estimate would you expect to be most accurate and why? (hint: read over section 3.6 and remember that the speedometer would be the velocity of the car)
Background image of page 1