Differentiability Course
Master differentiability from first principles: limits, continuity, piecewise functions, and nondifferentiable points. Build rigorous, concise justifications and translate graphs into precise limit and derivative statements used across advanced mathematics.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This Differentiability Course gives you a focused path to mastering limits, continuity, and rigorous derivative definitions. You will analyze corners, cusps, jumps, and vertical tangents, handle piecewise functions with confidence, and work with rational exponents near critical points. Build clear, concise written justifications and graph-based explanations you can apply immediately in advanced problem solving.
Elevify advantages
Develop skills
- Master limits and continuity: rigorous epsilon-delta tools for analysis.
- Diagnose nondifferentiable points: corners, cusps, jumps, vertical tangents.
- Analyze piecewise functions: match values, one-sided limits, and derivatives.
- Compute derivatives from first principles: difference quotients and one-sided tests.
- Interpret fractional power graphs: 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 workloadWhat our students say
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