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Calculus 1

Discover the process of measuring the change functions as they relate to various inputs in our course Applications of Differentiation. This course encompasses many areas of Mathematics, including Polynomial Parameters for Derivatives, Static Rate of Change and Higher Derivatives. Our course integrates with multiple disciplines in our sub-topics, The Derivative In Economics, The Derivative In Engineering and The Derivative In Physics to offer a well-developed course that directly impacts other areas of study. This course helps you gain a broad, yet nuanced approach to Applications of Differentiation.

- Static Rate of Change
- Using Static Rates of Change
- Differentiation and Parameters
- Changing Units Through Differentiation
- Polynomial Parameters for Derivatives
- Interpretation of Derivatives of Polynomials
- The Differential in the Denominator
- Derivative Ratios
- Applications of Derivatives
- Higher Derivatives of Position
- Using Higher Derivatives of Position
- Decreasing and Increasing Intervals
- Endpoint Extrema
- Concavity
- Inflection
- Finding Inflection Points
- Determining the Direction on an Interval
- Finding the Intervals of a Function
- Choosing a Test Number
- Graphing Intervals
- Graphing Extrema
- Finding Relative Extrema
- Determining Concavity
- Interval Charts
- Graphing Critical Numbers
- Graphing Relative Extrema
- Relative Extrema
- Determining the Critical Numbers of a Function
- Determining the Sign of a Test Number
- Derivatives and Function Intervals
- Differentiation and Critical Numbers

Study fundamental topics in college-level algebra with emphasis on application.

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.

The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 26 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.