When is a Function NOT Differentiable? | 4 Key Cases Explained with Examples
Did you know that not all functions have derivatives everywhere? In this video, I break down the four main cases of non-differentiability and show you exactly why a function can fail to be differentiable at certain points.
📌 What You’ll Learn:
✅ Cusp Points – Sharp turns where the derivative is undefined
✅ Endpoints – When a function stops abruptly
✅ Discontinuities – Jumps, holes, and breaks in the function
✅ Vertical Tangent Slopes – Where the derivative becomes infinite
✅ Step-by-step examples with illustrations to make each case clear
📢 Check out my complete playlist for everything you need to know about differentiation here: • Master Derivatives – The Complete Guide to...
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💡 Perfect for:
✔️ Calculus students learning differentiability
✔️ AP Calculus, SAT & ACT Math Prep
✔️ University math & engineering students
✔️ Anyone who wants to truly understand derivatives!
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Key Moments
00:37 Non-Differentiability at a Cusp
01:55 Non-Differentiability at an End Point
03:30 Non-Differentiability at Discontinuities
04:28 Non-Differentiability at Vertical Tangents
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