Type:

Assessment, E-book, Lesson Plan, Manual

Description:

In this, the third section of the course, the topics include:Applications of derivatives• Analysis of curves, including the notions of monotonicity and concavity.• Optimization, both absolute (global) and relative (local) extrema.• Modeling rates of change, including related rates problems.• Use of implicit differentiation to find the derivative of an inverse function.• Interpretation of the derivative as a rate of change in varied applied contexts, including velocity, speed, and acceleration.• Geometric interpretation of differential equations via slope fields and the relationship between slope fields and solution curves for differential equations.Computation of derivatives• Knowledge of derivatives of basic functions, including power, exponential, logarithmic, trigonometric, and inverse trigonometric functions.• Derivative rules for sums, products, and quotients of functions.• Chain rule and implicit differentiation.

Subjects:

  • Mathematics > General
  • Mathematics > Calculus

Education Levels:

  • Grade 11
  • Grade 12

Keywords:

inverse operation differentiation definite integrals substitution indefinite integrals trapezoidal ruble

Language:

English

Access Privileges:

Members

License Deed:

Creative Commons Attribution Non-Commercial

Collections:

Curriki Calculus
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Curriki Rating
On a scale of 0 to 3
2.3
On a scale of 0 to 3

This resource was reviewed using the Curriki Review rubric and received an overall Curriki Review System rating of 2.3, as of 2016-02-29.

Component Ratings:


Standards Alignment: 3
Subject Matter: 2
Support Steaching: 2
Instructional Quality: 2

Reviewer Comments:


Standards Alignment: All resources are organized and aligned to the 14 CCSS in this area of Applications of Derivatives.
Subject Matter: Each resource addresses a specific content standard. An instructor would be necessary to help a student navigate through this material.
Support Steaching: Each resource in this group stands alone. An instructor would need to decide which resources to use and when to best support the learning of his/her students.
Instructional Quality: Practice exercises are included. Answer keys are provided.

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