Using L’Hopital’s Rule for Infinity/Infinity Indeterminate Forms
How to use L
Using L’Hopital’s Rule for 0/0 Indeterminate Forms
Learn how to use L
Total Distance Traveled vs. Displacement
Learn the difference between total distance traveled and displacement in AP Calculus, including how to use velocity, position, and integrals to calculate each quantity.
Straight-Line Motion: Speeding Up and Slowing Down
Learn how to determine when an object moving along a straight line is speeding up or slowing down using velocity and acceleration. Includes sign charts, worked examples, and AP Calculus practice.
Setting Up Related Rates Problems: A Step-by-Step Method
Learn how to set up related rates problems step by step: identify changing quantities, write the relationship, differentiate with respect to time, substitute known values, and solve for the desired rate.
Related Rates: Shrinking and Growing Shapes
Learn how to solve related rates problems involving shrinking and growing shapes, with step-by-step examples for AP Calculus AB & BC.
Related Rates: Ladder and Shadow Problems
Learn how to solve ladder and shadow related-rates problems step by step, with diagrams, equations, derivatives, and fully worked AP Calculus examples.
Related Rates: Conical and Spherical Volume Problems
Learn how to solve related-rates problems involving the volume of cones and spheres, with step-by-step AP Calculus AB & BC examples.
Related Rates: Angle of Elevation Problems
Learn how to solve angle of elevation related-rates problems in AP Calculus AB & BC with diagrams, trigonometric equations, and fully worked examples.
Rates of Change in Applied Contexts (Non-Motion)
Learn how to interpret and calculate rates of change in population, revenue, temperature, area, and other applied contexts for AP Calculus AB & BC.