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calculus:resources:calculus_flipped_resources:derivatives


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!



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)