Calculus: Single Variable Part 2 - Differentiation

Penn takes a fresh look at differentiation before putting derivatives to work and introducing differentials and operators. The sequence follows the functions-focused first part of its calculus collection. Its value is the connection between derivative notation and what a derivative describes, rather than treating differentiation as a list of rules to memorize.

What you will learn

• Explain a derivative as a description of change.
• Use derivatives in single-variable applications.
• Relate differentials and operators to calculus notation.

Who this suits

Coursera labels the course mixed level. Preview earlier function and limit material to assess your preparation for the differentiation sequence.

Before you enroll

Work through the algebra as well as the numerical answer. Sketch the function or region involved and check which assumptions allow the chosen calculus method to apply.

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Put it into practice

Choose a simple changing quantity and graph its value and derivative. Explain what a positive, negative or zero derivative means in that example.

Source and review

This overview is based on the provider's published information, checked on 12 October 2026. It is an editorial assessment, not a claim that we completed the resource. Time filters are approximate study ranges; projects and exercises can take longer.

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