Tīpoka ki ngā ihirangi matua
Kimi Pārōnaki e ai ki X
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Aromātai
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Tohaina

\frac{\mathrm{d}}{\mathrm{d}X}(\frac{1}{\sin(X)})
Whakamahia te tautuhinga o te aho taupoki.
\frac{\sin(X)\frac{\mathrm{d}}{\mathrm{d}X}(1)-\frac{\mathrm{d}}{\mathrm{d}X}(\sin(X))}{\left(\sin(X)\right)^{2}}
Mō ngā pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te otinga o ngā pānga e rua ko te tauraro whakareatia ki te pārōnaki o te taurunga tango i te taurunga whakareatia ki te pārōnaki o te tauraro, ā, ka whakawehea te katoa ki te tauraro kua pūruatia.
-\frac{\cos(X)}{\left(\sin(X)\right)^{2}}
Ko te pārōnaki o te pūmau 1 ko 0, ā, ko te pārōnaki o sin(X) ko cos(X).
\left(-\frac{1}{\sin(X)}\right)\times \frac{\cos(X)}{\sin(X)}
Tuhia anō te otinga hei hua o ngā otinga e rua.
\left(-\csc(X)\right)\times \frac{\cos(X)}{\sin(X)}
Whakamahia te tautuhinga o te aho taupoki.
\left(-\csc(X)\right)\cot(X)
Whakamahia te tautuhinga o te pātapa taupoki.