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*Section 2.2 in Stewart's Calculus.*

*Section 2.3 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Derivative formulas for powers and roots.

- Derivative formulas for sums/differences/products/quotients.

*Section 2.4 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Familiarity with the limit of sin(x)/x as x approaches zero.

*Section 2.5 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Composition and rates of change.

- Chain Rule Formula.

*Section 2.6 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- An equation implicitly defines many functions.

- Implicitly versus explicitly defined functions.

- Basics of Implicit Differentiation.

*Section 2.7 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Instantaneous Rates of Change are everywhere!

*Section 2.8 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Rates of change can be found by implicitly differentiating an equation. This technique is useful in obtaining information in natural, less mathematical, settings.

*Section 2.9 in Stewart's Calculus.*

**Preclass Learning Objectives:**

- Lines are functions, even tangent lines.

- Linearization of a function f(x) approximates the values of f(x).

- The change along the y-axis can be approximated with linearization.

calculus/resources/calculus_videos/chapter2.txt · Last modified: 2015/11/21 16:35 by kaz

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