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\left(8x^{6}\right)^{1}\times \frac{1}{2x^{2}}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
8^{1}\left(x^{6}\right)^{1}\times \frac{1}{2}\times \frac{1}{x^{2}}
Hei hiki i te hua o ngā tau e rua, neke atu rānei ki tētahi pū, hīkina ia tau ki te pū ka tuhi ko tāna hua.
8^{1}\times \frac{1}{2}\left(x^{6}\right)^{1}\times \frac{1}{x^{2}}
Whakamahia te Āhuatanga Kōaro o te Whakareanga.
8^{1}\times \frac{1}{2}x^{6}x^{2\left(-1\right)}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.
8^{1}\times \frac{1}{2}x^{6}x^{-2}
Whakareatia 2 ki te -1.
8^{1}\times \frac{1}{2}x^{6-2}
Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.
8^{1}\times \frac{1}{2}x^{4}
Tāpirihia ngā taupū 6 me -2.
8\times \frac{1}{2}x^{4}
Hīkina te 8 ki te pū 1.
4x^{4}
Whakareatia 8 ki te \frac{1}{2}.
\frac{8^{1}x^{6}}{2^{1}x^{2}}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
\frac{8^{1}x^{6-2}}{2^{1}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{8^{1}x^{4}}{2^{1}}
Tango 2 mai i 6.
4x^{4}
Whakawehe 8 ki te 2.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{2}x^{6-2})
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}(4x^{4})
Mahia ngā tātaitanga.
4\times 4x^{4-1}
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}.
16x^{3}
Mahia ngā tātaitanga.