Differentiability Course
This course builds expertise in differentiability from first principles, covering limits, continuity, piecewise functions, and nondifferentiable points. Students develop rigorous justifications and translate graphical insights into precise mathematical statements for advanced problem-solving in mathematics.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
Explore limits, continuity, and derivative definitions. Analyze nondifferentiable points including corners, cusps, jumps, and vertical tangents. Master piecewise functions and rational exponents. Create concise written proofs and graph interpretations for immediate use in advanced math.
Elevify advantages
Develop skills
- Master limits and continuity using epsilon-delta proofs.
- Identify nondifferentiable points like corners, cusps, jumps, and vertical tangents.
- Analyze piecewise functions for limits and derivatives.
- Compute derivatives from first principles with difference quotients.
- Interpret graphs of fractional powers for smoothness and slopes.
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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