# Test 2 covers the following objectives:

### Sections 3.1 & 3.2

1. State, explain, and illustrate the limit definition of derivative.
2. Use the limit definition of derivative to evaluate a derivative.
3. Interpret the derivative as the slope of a tangent line.
4. Find equations of tangent lines.
5. Determine when a derivative does not exist.
6. Graph the derivative function from the graph of a given function.

### Section 3.3

1. Evaluate derivatives (and higher-order derivatives) using basic differentiation rules.

### Section 3.4

1. Calculate an average rate of change (i.e., slope of a secant line).
2. Interpret the derivative as an instantaneous rate of change.
3. Solve problems involving motion along a line.
4. Solve various application problems involving rates of change.

### Section 3.5

1. Evaluate derivatives of trigonometric functions.

### Section 3.6

1. Identify compositions of functions, and write a function as a composition of two functions.
2. Use the chain rule to differentiate compositions of functions.

### Section 3.8

1. Use implicit differentiation to find the derivative of an implicitly-defined function.
2. Find equations of the lines tangent and normal to the graph of an implicitly-defined function.