# Test 3 covers the following objectives:

### Section 3.7

1. Compute the derivative of an inverse function.
2. Evaluate derivatives involving the inverse trigonometric functions.

### Section 3.9

1. Compute the derivative of an exponential function of any base.
2. Compute the derivative of a logarithmic function of any base.
3. Use logarithmic differentiation.

### Section 4.1

1. Use implicit differentiation to relate rates.
2. Solve application problems involving related rates.

### Section 4.2

1. Determine the linearization of a function at a point.
2. Use the linearization at a point to approximate function values near the point.
3. Compute differentials.

### Section 4.3

1. Find the critical numbers of a function.
2. Determine whether an extreme value is absolute or relative.
3. Find the absolute extreme values of a continuous function on a closed, bounded interval.

### Section 4.5

1. Use the first derivative to find intervals on which a function is increasing/decreasing.
2. Use the first derivative test to locate relative extrema.