Whakaoti i te 14y/42y^2

$$\frac { 14 y } { 42 y ^ { 2 } }$$

Aromātai

$$\frac{1}{3y}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(14y^{1}\right)^{1}\times \frac{1}{42y^{2}}$$

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.

$$14^{1}\left(y^{1}\right)^{1}\times \frac{1}{42}\times \frac{1}{y^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$14^{1}\times \frac{1}{42}\left(y^{1}\right)^{1}\times \frac{1}{y^{2}}$$

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

$$14^{1}\times \frac{1}{42}y^{1}y^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$14^{1}\times \frac{1}{42}y^{1}y^{-2}$$

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

$$14^{1}\times \frac{1}{42}y^{1-2}$$

Tāpirihia ngā taupū 1 me -2.

$$14^{1}\times \frac{1}{42}\times \frac{1}{y}$$

Hīkina te 14 ki te pū 1.

$$14\times \frac{1}{42}\times \frac{1}{y}$$

Whakareatia 14 ki te \frac{1}{42}.

$$\frac{1}{3}\times \frac{1}{y}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{14^{1}y^{1}}{42^{1}y^{2}}$$

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

$$\frac{14^{1}y^{1-2}}{42^{1}}$$

Tango 2 mai i 1.

$$\frac{14^{1}\times \frac{1}{y}}{42^{1}}$$

Whakahekea te hautanga \frac{14}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 14.

$$\frac{1}{3}\times \frac{1}{y}$$

Kimi Pārōnaki e ai ki y

$$-\frac{1}{3y^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{14}{42}y^{1-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{3}\times \frac{1}{y})$$

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}.

$$-\frac{1}{3}y^{-1-1}$$

Mahia ngā tātaitanga.

$$-\frac{1}{3}y^{-2}$$