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Differentiability Course

Differentiability Course
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.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of rich information.
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