# Unit 2 The Derivativeap Calculus

Unit 2: Derivatives of multivariable functions Partial Derivative and Gradient Introduction to partial derivatives. For a multivariable function, like f (x, y) = x 2 y f(x, y) = x^2 y f (x, y) = x 2 y, computing partial derivatives looks something like this. Unit 2: Instantaneous Rate of Change: The Derivative Back to course 'MA101: Single-Variable Calculus I' Log in or Sign up to track your course progress, gain access to final exams, and get a free certificate of completion! Unit 2 - Review - AP CALCULUS AB MS. BLACKWELL Kranish AP Calculus. Home Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Calculus AB Final Exam Review Unit 8 Unit 9 Unit 10 Unit 11 AP Calculus BC Final Exam Review Project Unit 2 - Conceptualizing the Derivative.Quiz: Monday, September 18th.Unit 2 Test: Wednesday, September 20th. Determine the derivative of polynomial and simple rational functions from first principles (Unit 1 Method). Define the derivative function, f'(x), and identify functions that are not differentiable. Use a variety of 'rules' to determine the derivative of polynomial and simple rational functions. (The quick method). This AP Calculus AB class covers a review of Unit 2 on basic derivative rules.Skills1.E Apply appropriate mathematical rules or procedures, with and without.

### Unit 2 - Derivatives

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### Unit 2: Derivatives

In this unit, you will learn first the concept of a derivative by explaining it through limits. You will see that the limit definition and computation are drawn out, and often difficult, so you will learn shortcuts to compute derivatives. You will learn to compute derivatives for all different types of functions, as well as for combinations of functions. After you learn how to compute derivatives, you will look at what derivatives tell you specifically at any point in a function, as well as what they tell you about the function as a whole. You will finish this unit by looking at the computation and meaning of second derivatives, as well as real-life applications of derivatives. The main applications to be reviewed in this unit will be related rates problems, optimization problems, and problems involving displacement, velocity, and acceleration.

### Unit 2 The Derivativeap Calculus 2nd Edition

Completing this unit should take you approximately 54 hours.