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calculus:resources:calculus_flipped_resources:derivatives
Flipped Calculus 1 at Binghamton
The Derivative as a Function
Section 2.2 in Stewart's Calculus.
Differentiation Formulas
Section 2.3 in Stewart's Calculus.
Preclass Learning Objectives:
- Derivative formulas for powers and roots.
- Derivative formulas for sums/differences/products/quotients.
Trigonometric Derivatives
Section 2.4 in Stewart's Calculus.
Preclass Learning Objectives:
- Familiarity with the limit of sin(x)/x as x approaches zero.
The Chain Rule
Section 2.5 in Stewart's Calculus.
Preclass Learning Objectives:
- Composition and rates of change.
- Chain Rule Formula.
Implicit Differentiation
Section 2.6 in Stewart's Calculus.
Preclass Learning Objectives:
- An equation implicitly defines many functions.
- Implicitly versus explicitly defined functions.
- Basics of Implicit Differntiation.
Rates of Change in the Sciences
Section 2.7 in Stewart's Calculus.
Preclass Learning Objectives:
- Instantaneous Rates of Change are everywhere!
Related Rates
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.
calculus/resources/calculus_flipped_resources/derivatives.txt · Last modified: 2015/08/28 22:35 (external edit)