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Derivative – Slope of the tangent line. (Instantaneous rate of change – at ONE point). Average rate of change is ordinary old slope. (slope of the secant line ...

AP Calculus AB. Unit 3 – Introduction to Differentiation. Page 2. AP Calculus AB – Worksheet 20. Average Rates of Change. 1. Find the average rate of change of ...

Antiderivatives: The antiderivative or indefinite integral of a function f(x) is a function F(x) whose derivative is f(x). Since the derivative of a constant is ...

Students should be able to: o Differentiate an implicit relation. o Verify the derivative of an implicit relation. o Write an equation for a line tangent to the ...

The goal for the session is to let the students experience a variety of both types of questions to gain insight on how the topic will be presented on the AP ...

AP Calculus Practice (3.1-3.3). For each of the following functions, find the derivative. For each derivative, determine all values for which the derivative ...

Use the original definition of the derivative to find the derivative of each function at the indicated point. a) f(x)= at a=2 f'(x) = lim x I (x+h).

Steps to find derivatives as limits: 1) Identify the form of the derivative first (look at the image above)… is it form a? b? c? 2) Identify f(x).

Section 5: Chain Rule. CHAIN RULE. 𝑦 = 𝑓(𝑔(𝑥)) → 𝑦′ = 𝑓′(𝑔(𝑥)) ∙ 𝑔′(𝑥). Section 6: Complex Derivatives. Section 7: Trigonometric Derivative Rules.