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Kimi Pārōnaki e ai ki x
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\frac{6^{1}x^{8}y^{9}}{3^{1}x^{2}y^{3}}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
\frac{6^{1}}{3^{1}}x^{8-2}y^{9-3}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{6^{1}}{3^{1}}x^{6}y^{9-3}
Tango 2 mai i 8.
\frac{6^{1}}{3^{1}}x^{6}y^{6}
Tango 3 mai i 9.
2x^{6}y^{6}
Whakawehe 6 ki te 3.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6y^{9}}{3y^{3}}x^{8-2})
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{\mathrm{d}}{\mathrm{d}x}(2y^{6}x^{6})
Mahia ngā tātaitanga.
6\times 2y^{6}x^{6-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
12y^{6}x^{5}
Mahia ngā tātaitanga.