Second order differentiation

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Differentiating dy/dα w.r.t x what would we get? The textbook i'm using says the answer is (d^2y/dα^2)(dα/dx) but I'm not able to understand it.

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What they are doing is that they are setting dy/da to another variable and then differentiating that variable using implicit differentiation. For understanding the technique, you should check out this website, https://revisionmaths.com/advanced-level-maths-revision/pure-maths/calculus/implicit-differentiation. If the answer is not helpful, please inform and I will try my best to provide a better answer. Please don't give any down votes.