Graceplacek

Demonstrates how to perform u substitution with multiple worked out example problems of varying degrees of difficulty. Shows when you can and cannot use this rule to derive or find limits, and how to find a particular solution when given a point on a graph.

Defines Fundamental Theorem I and Fundamental Theorem II. Shows how to derive using these theorems and the antiderivatives, as well as a shortcut and how to find the average value. Includes worked out example problems for finding y' and limits.

Shows the breakdown of definite intervals and provides example problems to learn from. Gives the formula for the area of a trapezoid. Demonstrates how to use a limit to find an interval.

Demonstrates how to derive using L'Hôspital's Rule for finding limits. Includes multiple worked out practice problems to learn from.

Logarithmic Differentiation. Using worked out example problems, these notes show how to derive logs and natural logs. Also has a section of logarithm review practice problems worked out.

Shows how to implicitly and explicitly substitute with inverse trigonometry. Includes practice problems that are worked out with answers provided.

Describes the difference between implicit and explicit differentiation. Many example problems to show how to derive and differentiate implicitly. Find y' and tangent line problems with work and answers.

Mainly example problems that demonstrate the rules for differentiation. Uses derivatives. Shows Power Rule, Product Rule, Quotient Rule, Chain Rule, and Triple Product Rule.

Shows rate of change work using limits and intervals. Includes example problems for finding the instantaneous slope, tangent slope, secant slope, normal line, and horizontal slope. Defines derivative.

Includes rules for continuity and types of discontinuity, as well as a graph and problem examples.