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Daily Math Minute

Mathematics

Applications of Derivatives

Using derivatives to analyze functions and solve applied problems.

Curve Sketching

Advanced20 min
  • Use the first derivative to find increasing/decreasing intervals and extrema
  • Use the second derivative to determine concavity
1

The First Derivative Test

Using the first derivative to find critical points, local extrema, and intervals of increase/decrease.

20 min

2

The Second Derivative & Concavity

Using the second derivative to determine concavity and inflection points.

20 min

Optimization & Related Rates

Advanced25 min
  • Solve optimization problems using derivatives
  • Solve related rates problems
1

Optimization Problems

Using derivatives to find maximum and minimum values in applied problems.

25 min

2

Related Rates

Solving problems involving rates of change of related quantities.

25 min