Question: Substitute d/d = - (1 - w2)1/2(d/dw) [which follows from (5.85)] and Eq. (5.85) into d2S/d2 = (d/d) (dS/d) to verify Eq. (5.86).

Substitute d/dθ = - (1 - w2)1/2(d/dw) [which follows from (5.85)] and Eq. (5.85) into d2S/dθ2 = (d/dθ) (dS/dθ) to verify Eq. (5.86).

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