The following examples refer to Bradley's Calculus.
Discovering the extreme values of a continuous function can aid you in optimization problems.
Examples:
- pg. 173 (Section 3.1): Example #9
The mean value theorem can be used for practical applications
Examples:
- pg. 182 (Section 3.3): #36, #37
The first and second derivative tests are helpful in sketching the graphs of given functions
Examples:
- pg. 191 (Section 3.3): #49
The following examples refer to Young and Freedman's University Physics.
The vector sum of forces acting on a particle is equal to the time rate of change (the derivative with respect to time) of momentum of the particle. Thus, the conservation of momentum involves the addition of the derivative of momentum.
Examples:
- pg. 258 (8-4) asks for the momentum, but the force could be additionally found
Collisions are mainly concerned with the velocity before and after the collision. The distance may then be found with respect to time.
Examples:
- pg. 261 (8-25)
Impulse, the integral of force, can be realized as the area under the curve as seen on pg. 229 (Figure 8-1).
Examples:
- pg. 231 (Example 8-2)
- pg. 267 (8-100) involves a function and the visualization of a graph
Angular acceleration requires the knowledge of tangents which can be seen on pg. 299 (Example 10-3).
