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What is the difference between $dy$ and $Δy$ and why is $dx$ is same as . . . For examples, this $\mathrm {d}y$ as $\delta y$ and $\mathrm {d}x$ as $\delta x$ notation is used in videos like the ones mentioned in a comment by the OP Yashasv Prajapati: blackpenredpen 's “ delta y vs dy (differential) ” and The Math Sorcerer 's “ How to Compute Delta y and the Differential dy ”
Integral of $ (d^2y dx^2) dy$ - Mathematics Stack Exchange I saw this as a step in a calculation and it was confusing The left cancels down to: $$\int \frac {d^2y} {dx^2}dy$$ But surely the answer is $\frac {d^2y} {dx^2}y$; instead, $\frac {d^2} {dx^2}$ is being