ĭiscussion Suppose a different function was hypothesized for P(t), such as t^2 or e^(-t). Results Graph a scatterplot of P(t) and your estimates of P’(t) based on the numerical work performed in #4.ĭiscussion Do the visual results based on visual, algebraic and/or numerical work agree?ĭiscussion Contrast the initial and long-term value of the instantaneous rate of change. free photoshop Riemann sum khan academy Word document examples math equations Write.

(Hint: Create a table for with 21 rows ( t = 0. Chapter 2 The differential calculus and its applications (for single. Bill Scott uses Khan Academy to teach AP Calculus at. This topic covers all of those interpretations, including the formal definition of the derivative and the notion of differentiable functions. The derivative of a function has many different interpretations and they are all very useful when dealing with differential calculus problems. Try to calculate the derivative algebraically using the limit definition of derivativeĬreate a spreadsheet that calculates the derivative numerically at 21 different points of the graph: t = 0. AP Calculus Name Differentiation-Part 2 Test 3-A Calculator is NOT. Get comfortable with the big idea of differential calculus, the derivative. Sketch a graph of P(t) and from that, sketch what you expect P’(t) to look like.

A worksheet for derivative calculation: Lab 3 Part I, Calculus IĬonsider an environmental indicator which can be described by the following equation:

Khan academy differential calculus