springboard physics

This review packet contains 16 questions regarding limits. There are a variety of question types including *completing an input-output table *evaluating equations (both left end, right end, and overall limits) *graphical analysis regarding limits *graph sketching I use this packet as a review prior to the Ch 1 test over limits.

This is the 3rd and part of the notes covering the chain rule. These notes include 8 examples of the use of the chain rule combined with the product rule and quotient rule. There are 4 examples of chain rule + product rule and 4 examples of chain rule + quotient rule.

This is a continuation of my notes from 2.1. This set continues using the limit process to find the derivative of a few different function types including polynomial, rational, and root functions. Additionally, derivative notation is introduced such as f'(x), dy/dx, etc. There are a total of 8 exercises/practice problems, which take a good amount of time to get through as the limit process is a bit time consuming.

These notes walk the student through basic differentiation of polynomials, basic trig (sin & cos) functions, and root functions. There are 15 examples/practice questions in total, which includes one graph (constant function). The basic derivative rules presented in these notes are 1. constant 2. power rule 3. negative exponents 4. roots 5. trig (sin & cos)

This is the 3rd part of the derivative and tangent line problem notes based on section 2.1, Larson 10e. Pg 1 - Includes two examples of graphs of functions that are continuous, but whose derivatives are not continuous (absolute value and cube root). I use this for a discussion about continuity vs. differentiability. Pg 2 - Includes three examples of the graph of f(x) adjacent to f'(x) for a side-by-side comparison. I use this to explain how the graph of f'(x) is generated by using tangent line

This is part 3 of continuity and one-sided limits. I also included an additional example using the intermediate value theorem, which was introduced in part 2 of this set of notes. The assignment that appears on the solution key is based on our text book, 'Calculus' by Larson, 10e.

These are my notes for section 2.1 of Calculus by Larson. The notes begin with reviewing what a tangent line is via a couple of diagrams, then moves into the development of the formula for how to determine the slope of the tangent line. On the back, there are a total of four practice questions which include linear and a simple quadratic function.

These notes cover the basics of the chain rule including the definition. There are 8 examples which include polynomial, rational (constant numerator), and root functions. Additionally, there is plenty of space to work each example.

Part 2 of my basic differentiation notes consists of 6 example/practice questions based on the definition of average vs. instantaneous rates of change. The modes of the questions represented within these notes are tabular and equation based. Four of the questions refer to a ballistic trajectories modeled by quadratic functions. For these questions, students are asked to determine the average and instantaneous rate of change given a time interval and value of time.

This is part 2 of 3 of my notes for the chain rule. These notes include trig functions and the chain rule. There are 8 example questions with plenty of space to work solutions.