Differentiability Course
Dive deep into differentiability using first principles, covering limits, continuity, piecewise functions, and points of nondifferentiability. Craft precise, rigorous justifications and convert graphical insights into exact limit and derivative analyses, essential for advanced mathematics across various fields. Gain confidence in epsilon-delta proofs and real-world applications.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a targeted journey to master limits, continuity, and precise derivative definitions. Explore corners, cusps, jumps, and vertical tangents, tackle piecewise functions effectively, and manage rational exponents at key points. Develop sharp written proofs and graph interpretations for immediate use in complex maths problems.
Elevify advantages
Develop skills
- Master limits and continuity with epsilon-delta precision tools.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Handle piecewise functions through value matching, one-sided limits, and derivatives.
- Calculate derivatives from first principles using difference quotients and one-sided methods.
- Analyse 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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