Test 3 covers the following objectives:
Section 3.7
- Compute the derivative of an inverse function.
- Evaluate derivatives involving the inverse trigonometric
functions.
Section 3.9
- Compute the derivative of an exponential function of any base.
- Compute the derivative of a logarithmic function of any base.
- Use logarithmic differentiation.
Section 4.2
- Determine the linearization of a function at a point.
- Use the linearization at a point to approximate function values
near the point.
- Compute differentials.
- Use differentials to approximate change and to estimate propagated error.
Section 4.3
- Find the critical numbers of a function.
- Determine whether an extreme value is absolute or relative.
- Find the absolute extreme values of a continuous function on a
closed, bounded interval.
Section 4.5
- Use the first derivative to find intervals on which a function is
increasing/decreasing.
- Use the first derivative test to locate relative extrema.
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