Factoring 2nd order derivatives using the chain rule

piglizard

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Can (d2 R / d S2) be factored into (d2 R / d T2) (d2 T / d S2) using the chain rule?

If not, is there some way it can be factored?
 
Can (d2 R / d S2) be factored into (d2 R / d T2) (d2 T / d S2) using the chain rule?

If not, is there some way it can be factored?

No

d2R/ds2 = d/dS(dR/dS) = d/dS(dR/dT * dT/dS) = d/dT(dR/dT * dT/dS) * dT/dS .... with usual restrictions
 
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