Whakaoti i te c^9/6c^4

$$\frac { c ^ { 9 } } { 6 c ^ { 4 } }$$

Aromātai

$$\frac{c^{5}}{6}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(c^{1}\right)^{9}\times \frac{1}{6c^{4}}$$

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.

$$1^{9}\left(c^{1}\right)^{9}\times \frac{1}{6}\times \frac{1}{c^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$1^{9}\times \frac{1}{6}\left(c^{1}\right)^{9}\times \frac{1}{c^{4}}$$

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

$$1^{9}\times \frac{1}{6}c^{9}c^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$1^{9}\times \frac{1}{6}c^{9}c^{-4}$$

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

$$1^{9}\times \frac{1}{6}c^{9-4}$$

Tāpirihia ngā taupū 9 me -4.

$$1^{9}\times \frac{1}{6}c^{5}$$

Hīkina te 6 ki te pū -1.

$$\frac{1}{6}c^{5}$$

Kimi Pārōnaki e ai ki c

$$\frac{5c^{4}}{6}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{6}c^{9-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{6}c^{5})$$

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}.

$$5\times \frac{1}{6}c^{5-1}$$

Mahia ngā tātaitanga.

$$\frac{5}{6}c^{4}$$