This course is part of the Differential Calculus through Data and Modeling Specialization

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33 ratings

Joseph W. Cutrone, PhD

Top Instructor

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Differential Calculus through Data and Modeling SpecializationJohns Hopkins University

About this Course

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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.

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Course 3 of 4 in the

Differential Calculus through Data and Modeling Specialization

Intermediate Level

Approx. 7 hours to complete

English

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Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 3 of 4 in the

Differential Calculus through Data and Modeling Specialization

Intermediate Level

Approx. 7 hours to complete

English

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Instructor

Instructor rating

4.75/5 (8 Ratings)

Joseph W. Cutrone, PhD
Top Instructor

Associate Teaching Professor and Director of Online Programs

Mathematics

55,696 Learners

16 Courses

Offered by

Johns Hopkins University

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Syllabus - What you will learn from this course

Week1

Week 1

1 hour to complete

Derivatives of Polynomial, Exponential, and Logarithmic Functions

In previous course, we defined and calculated the derivative as a limit. In this module, we will examine the derivatives of some important functions, including polynomials, exponentials, logarithms, and trigonometric functions. We will also learn differentiation rules which will help us to compute derivatives more efficiently. Finally, we will generalize the idea of a derivative to multivariable functions, and learn how to find derivatives and rates of change on a graph in space.

1 hour to complete

3 videos (Total 36 min), 1 reading, 1 quiz

Week2

Week 2

1 hour to complete

The Product and Quotient Rules

1 hour to complete

2 videos (Total 19 min), 1 reading, 1 quiz

Week3

Week 3

1 hour to complete

Derivatives of Trigonometric Functions

Before starting this module, please review trigonometric functions, in particular their graphs. In this module, we will develop formulas to find derivatives for the common trigonometric functions of sine and cosine. Together with the product and quotient rules, the derivatives for the remaining trigonometric functions are formulated. These new derivative formulas are then added to our catalog to use and apply to solve problems related to rates of change.

1 hour to complete

2 videos (Total 23 min), 1 reading, 1 quiz

Week4

Week 4

1 hour to complete

The Chain Rule

1 hour to complete

1 video (Total 15 min), 1 reading, 1 quiz

Reviews

4.8

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TOP REVIEWS FROM CALCULUS THROUGH DATA & MODELING: DIFFERENTIATION RULES

by SMJun 1, 2021

This is a great course. Instructor is amazing and goes through a large number of examples.

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About the Differential Calculus through Data and Modeling Specialization

This specialization provides an introduction to topics in single and multivariable calculus, and focuses on using calculus to address questions in the natural and social sciences. Students will learn to use the tools of calculus to process, analyze, and interpret data, and to communicate meaningful results, using scientific computing and mathematical modeling. Topics include functions as models of data, differential and integral calculus of functions of one and several variables, differential equations, and optimization and estimation techniques.

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Calculus through Data & Modeling: Differentiation Rules

About this Course