Differentiability Course
This course builds mastery of differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points such as corners, cusps, jumps, and vertical tangents. Students develop skills to create rigorous, concise justifications and translate graphical insights into precise mathematical statements applicable in advanced mathematics and problem-solving scenarios across calculus and analysis.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain a focused pathway to mastering limits, continuity, and rigorous derivative definitions in this Differentiability Course. Analyse corners, cusps, jumps, vertical tangents, piecewise functions, and rational exponents near critical points with confidence. Develop clear written justifications and graph-based explanations for immediate use in advanced mathematical problem solving.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs for precise analysis.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Analyse piecewise functions with matching values, one-sided limits, and derivatives.
- Compute derivatives from first principles via difference quotients and one-sided tests.
- Interpret graphs of fractional powers for smoothness, slopes, and differentiability.
Suggested summary
Before starting, you can change the chapters and 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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