Whakaoti i te 40u^4/5u^6

$$\frac { 40 u ^ { 4 } } { 5 u ^ { 6 } }$$

Aromātai

$$\frac{8}{u^{2}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(40u^{4}\right)^{1}\times \frac{1}{5u^{6}}$$

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.

$$40^{1}\left(u^{4}\right)^{1}\times \frac{1}{5}\times \frac{1}{u^{6}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$40^{1}\times \frac{1}{5}\left(u^{4}\right)^{1}\times \frac{1}{u^{6}}$$

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

$$40^{1}\times \frac{1}{5}u^{4}u^{6\left(-1\right)}$$

Whakareatia 6 ki te -1.

$$40^{1}\times \frac{1}{5}u^{4}u^{-6}$$

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

$$40^{1}\times \frac{1}{5}u^{4-6}$$

Tāpirihia ngā taupū 4 me -6.

$$40^{1}\times \frac{1}{5}u^{-2}$$

Hīkina te 40 ki te pū 1.

$$40\times \frac{1}{5}u^{-2}$$

Whakareatia 40 ki te \frac{1}{5}.

$$8u^{-2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{40^{1}u^{4}}{5^{1}u^{6}}$$

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

$$\frac{40^{1}u^{4-6}}{5^{1}}$$

Tango 6 mai i 4.

$$\frac{40^{1}u^{-2}}{5^{1}}$$

Whakawehe 40 ki te 5.

$$8u^{-2}$$

Kimi Pārōnaki e ai ki u

$$-\frac{16}{u^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{40}{5}u^{4-6})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(8u^{-2})$$

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}.

$$-2\times 8u^{-2-1}$$

Mahia ngā tātaitanga.

$$-16u^{-3}$$