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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{5\times 5a}{30}-\frac{6\times 4a}{30}
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 6 me 5 ko 30. Whakareatia \frac{5a}{6} ki te \frac{5}{5}. Whakareatia \frac{4a}{5} ki te \frac{6}{6}.
\frac{5\times 5a-6\times 4a}{30}
Tā te mea he rite te tauraro o \frac{5\times 5a}{30} me \frac{6\times 4a}{30}, me tango rāua mā te tango i ō raua taurunga.
\frac{25a-24a}{30}
Mahia ngā whakarea i roto o 5\times 5a-6\times 4a.
\frac{a}{30}
Whakakotahitia ngā kupu rite i 25a-24a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{5\times 5a}{30}-\frac{6\times 4a}{30})
Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o 6 me 5 ko 30. Whakareatia \frac{5a}{6} ki te \frac{5}{5}. Whakareatia \frac{4a}{5} ki te \frac{6}{6}.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{5\times 5a-6\times 4a}{30})
Tā te mea he rite te tauraro o \frac{5\times 5a}{30} me \frac{6\times 4a}{30}, me tango rāua mā te tango i ō raua taurunga.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{25a-24a}{30})
Mahia ngā whakarea i roto o 5\times 5a-6\times 4a.
\frac{\mathrm{d}}{\mathrm{d}a}(\frac{a}{30})
Whakakotahitia ngā kupu rite i 25a-24a.
\frac{1}{30}a^{1-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{1}{30}a^{0}
Tango 1 mai i 1.
\frac{1}{30}\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
\frac{1}{30}
Mō tētahi kupu t, t\times 1=t me 1t=t.