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added diagrams for em1 chapter 01#168

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SG170:feat/add-em1-ch1-diagrams
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added diagrams for em1 chapter 01#168
SG170 wants to merge 2 commits into
pushkarscripts:mainfrom
SG170:feat/add-em1-ch1-diagrams

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@SG170
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@SG170 SG170 commented May 24, 2026

Summary

This PR adds visual diagrams to EM1 Chapter 1 — Differential Calculus (/sem1/em1/ch1), which previously had only text content with placeholder comments.


Changes made

  • Added 4 SVG diagrams inside public/sem1/em1/
  • Replaced all Diagram: placeholder comments in the chapter file with proper <img> tags

Diagrams added

  • mvt-graph.svg — Rolle’s theorem showing f(a)=f(b) with horizontal tangent at c, and Lagrange MVT showing chord slope equals derivative at c
  • taylor-expansion.svg — Taylor series approximation of sin(x) showing T₁, T₃, T₅ polynomials converging to the actual curve
  • concavity-inflexion.svg — S-curve showing concave up (f’’>0) and concave down (f’’<0) regions with inflexion point marked
  • curvature-graph.svg — Curve approaching a horizontal asymptote and osculating circle showing radius of curvature R at point P

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vercel Bot commented May 24, 2026

@SG170 is attempting to deploy a commit to the PushkarScripts Team on Vercel.

A member of the Team first needs to authorize it.

@SG170
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SG170 commented May 24, 2026

@pushkarscripts, please review the pr.
thank you

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