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However, when it reached the Elasticity part, it mentioned some elementary concepts of Elasticity of Demand and Supply:

E(d) = % Δd / % Δ p

E(s) = % Δs / % Δ p

where s, d, and p are Supply, Demand, and Price respectively.

Those deltas reminded me a fundamental Calculus concept: Derivatives and Integrals.

So, with much curiosity, I have been cogitating on this matter and came up with the following relations, please feel free to correct my mistakes:

E(s) = Derivative of Supply function with respect to variable Price.

E(d) = Derivative of Demand function with respect to variable Price.

∫ E(s) dP = Δs

∫ E(d) dP = Δd

∫ E(s) dD = Δs * E(d) --> because % ΔP = % ΔD / E(d), so E(s) = % Δs / % Δ p = (% Δ s / % ΔD) * E(d)

∫ E(d) dS = Δd * E(s)

Feel free to share any extra Economics using Calculus as an approach with me, or correcting my mistakes, thanks.