Turunan dari h(x) = tan x+1 / tan x-1

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Turunan dari h(x) = tan x+1 / tan x-1

Dianggap → h(x) = txn(x+1)/tan(x-1)
u = tan(x+1) → u' = sec²(x+1)
v = tan(x-1) → v' = sec²(x-1)
h'(x) = (u'v – v'u)/v²
= (sec²(x+1) tan(x-1) – sec²(x+1) tan(x+1))/tan²(x-1)
= sec²(x+1)(tan(x-1) – tan(x+1))/tan²(x-1)
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