For Test 3 you should be able to:
- Solve an optimization problem (lots of good exercises from Section 2.5).
- Remember you will be asked to sketch the graph of the objective function here!
- Use the product rule and chain rule (see Section 3.1 and Section 3.2).
- Sketch the graph of a function that satisfies the following properties:
for all 
in the interval 
- Section 4.2 may be a good reference for this material.
- Compute the derivative of functions that involve the exponential function. (Section 4.3)
- Recognize the exponential function as the solution to differential equation:
. (Section 4.3) - Draw the slope-field for a differential equation (See class notes)
- Solve simple equations involving logarithms and exponential functions. Remember these functions kill each other! (Section 4.4)
- Compute the derivative of functions that involve the natural logarithm (Section 4.5)
- Use properties of logarithms to compute derivatives (Section 4.6)
- Use the exponential function in population and decay models (Section 5.1)
- You may be asked to find the equation of a tangent line!