Differentiability Course
Gain expertise in differentiability starting from basics: explore limits, continuity, piecewise functions, and points where derivatives fail. Create precise proofs and convert graph visuals into exact limit and derivative analyses, skills vital for higher mathematics across various topics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to mastering limits, continuity, and precise derivative definitions. Learners will identify corners, cusps, jumps, and vertical tangents, manage piecewise functions effectively, and handle rational exponents at key points. Develop strong written arguments and graph interpretations for immediate use in complex math problems.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta methods for deep analysis.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Handle piecewise functions by matching values, checking one-sided limits, and derivatives.
- Calculate derivatives from first principles with difference quotients and one-sided tests.
- Analyze graphs of fractional powers for smoothness, slopes, and differentiability.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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