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Calculus through Data & Modeling: Differentiation Rules
  • Level Professional
  • المدة 8 ساعات hours
  • الطبع بواسطة Johns Hopkins University
  • Offered by

عن

Calculus through Data & Modeling: Differentiation Rules continues the study of differentiable calculus by developing new rules for finding derivatives without having to use the limit definition directly. These differentiation rules will enable the calculation of rates of change with relative ease the derivatives of polynomials, rational functions, algebraic functions, exponential and logarithmic functions, and trigonometric and inverse trigonometric functions. Once these rules are developed, they are then applied to solve problems involving rates of change and the approximation of functions.

الوحدات

Derivatives of Polynomial, Exponential, and Logarithmic Functions

    • 3 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Derivatives of Polynomial, Exponential, and Logarithmic Functions

3 Videos

  • Introduction to Differentiation Rules
  • Derivatives of Polynomial Functions
  • Derivatives of Exponential Functions

1 Readings

  • Notes: Derivatives of Polynomial, Exponential, and Logarithmic Functions

The Product and Quotient Rules

    • 2 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • The Product and Quotient Rules

2 Videos

  • The Product Rule
  • The Quotient Rule

1 Readings

  • Notes: The Product and Quotient Rules

Derivatives of Trigonometric Functions

    • 2 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • Derivatives of Trigonometric Functions

2 Videos

  • Derivatives of Trigonometric Functions
  • Examples of Finding Derivatives

1 Readings

  • Notes: Derivatives of Trigonometric Functions

The Chain Rule

    • 1 Videos
    • 1 Readings
    • 1 Assignment
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1 Assignment

  • The Chain Rule

1 Videos

  • The Chain Rule

1 Readings

  • Summary of Differentiation Rules

Partial Derivatives

    • 1 Videos
    • 2 Readings
    • 1 Assignment
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1 Assignment

  • Partial Derivatives

1 Videos

  • Partial Derivatives

2 Readings

  • Notes: Partial Derivatives
  • Sample Problems: Partial Derivatives

Directional Derivatives and Gradient Vectors

    • 1 Videos
    • 2 Readings
    • 1 Assignment
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1 Assignment

  • Directional Derivatives and Gradient Vectors

1 Videos

  • Directional Derivatives and the Gradient

2 Readings

  • Notes: Directional Derviatives and Gradient Vectors
  • Sample Problems: Directional Derivatives and Gradient Vectors

Final Project: Flight Path

    • 1 PeerReview
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1 Peer Review

  • Modeling a Flight Path

Auto Summary

"Calculus through Data & Modeling: Differentiation Rules" focuses on advanced differentiation techniques in calculus. Taught by Coursera, it covers derivatives of various functions and their applications in solving real-world problems. This professional-level course spans 480 minutes and offers both Starter and Professional subscription options, ideal for learners seeking to deepen their understanding of calculus in the Maths & Statistics domain.

Joseph W. Cutrone, PhD
Instructor

Joseph W. Cutrone, PhD