ITT Technical Institute
Framingham, Massachusetts
Quarter 7 Electronics Calculus
Instructor: Paul Burney

Name __________________________________

---

Applications of Derivatives(Test #3)

---

Useful Formulas:

Product Rule:

Quotient Rule:

Chain Rule:

Take the derivative of the outside part, then multiply that by the derivative of the inside part.

Instructions:

Please solve the following problems. Credit will be given for work completed so make sure to show it!

 

1. Find the following derivatives using the product or quotient rules.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
2. Find the following derivatives using the chain rule.
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
3. Solve the following applications problem.
   
   The position (x) in meters of a object at a certain time (t) in seconds, is given by the following equation:
   
   
   
   a) What is the position of the object at 1.2 seconds?
   
   b) What is the velocity of the object at 1.2 seconds? (Velocity is the rate of change of position)
   
   BONUS: What is the acceleration at 1.2 seconds?