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Applications of Derivatives
Using derivatives to solve real-world problems
10 Topics
52 Practice Problems
60 Flashcards
All Topics in Applications of Derivatives
Critical Points and Extrema
Finding maximum and minimum values of functions
📝7 problems
🎴6 cards
The First Derivative Test
Using the derivative to classify critical points as maxima, minima, or neither
📝5 problems
🎴6 cards
The Second Derivative Test
Using the second derivative to classify critical points
📝5 problems
🎴6 cards
Optimization Problems
Using calculus to find maximum and minimum values in real-world situations
📝5 problems
🎴6 cards
Curve Sketching
Using derivatives to sketch accurate graphs of functions
📝5 problems
🎴6 cards
Mean Value Theorem
Understanding the theoretical foundation connecting average and instantaneous rates
📝5 problems
🎴6 cards
L'Hôpital's Rule
Evaluating indeterminate forms using derivatives
📝5 problems
🎴6 cards
Linear Approximation
Using tangent lines to approximate function values
📝5 problems
🎴6 cards
Newton's Method
Using derivatives to find numerical solutions to equations
📝5 problems
🎴6 cards
Absolute Extrema on Closed Intervals
Finding absolute maximum and minimum values on closed intervals
📝5 problems
🎴6 cards