Whakaoti i te 6u^-1/3u^8

$$\frac { 6 u ^ { - 1 } } { 3 u ^ { 8 } }$$

Aromātai

$$\frac{2}{u^{9}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(6\times \frac{1}{u}\right)^{1}\times \frac{1}{3u^{8}}$$

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.

$$6^{1}\times \left(\frac{1}{u}\right)^{1}\times \frac{1}{3}\times \frac{1}{u^{8}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$6^{1}\times \frac{1}{3}\times \left(\frac{1}{u}\right)^{1}\times \frac{1}{u^{8}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$6^{1}\times \frac{1}{3}\times \frac{1}{u}u^{8\left(-1\right)}$$

Whakareatia 8 ki te -1.

$$6^{1}\times \frac{1}{3}\times \frac{1}{u}u^{-8}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$6^{1}\times \frac{1}{3}u^{-1-8}$$

Tāpirihia ngā taupū -1 me -8.

$$6^{1}\times \frac{1}{3}u^{-9}$$

Hīkina te 6 ki te pū 1.

$$6\times \frac{1}{3}u^{-9}$$

Whakareatia 6 ki te \frac{1}{3}.

$$2u^{-9}$$

Kimi Pārōnaki e ai ki u

$$-\frac{18}{u^{10}}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{6}{3}u^{-1-8})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(2u^{-9})$$

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}.

$$-9\times 2u^{-9-1}$$

Mahia ngā tātaitanga.

$$-18u^{-10}$$