Whakaoti i te y/6y^2

$$\frac{ y }{ 6 { y }^{ 2 } }$$

Aromātai

$$\frac{1}{6y}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(y^{1}\right)^{1}\times \frac{1}{6y^{2}}$$

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.

$$1^{1}\left(y^{1}\right)^{1}\times \frac{1}{6}\times \frac{1}{y^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$1^{1}\times \frac{1}{6}\left(y^{1}\right)^{1}\times \frac{1}{y^{2}}$$

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

$$1^{1}\times \frac{1}{6}y^{1}y^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$1^{1}\times \frac{1}{6}y^{1}y^{-2}$$

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

$$1^{1}\times \frac{1}{6}y^{1-2}$$

Tāpirihia ngā taupū 1 me -2.

$$1^{1}\times \frac{1}{6}\times \frac{1}{y}$$

Hīkina te 6 ki te pū -1.

$$\frac{1}{6}\times \frac{1}{y}$$

Kimi Pārōnaki e ai ki y

$$-\frac{1}{6y^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{6}y^{1-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{6}\times \frac{1}{y})$$

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}.

$$-\frac{1}{6}y^{-1-1}$$

Mahia ngā tātaitanga.

$$-\frac{1}{6}y^{-2}$$