Whakaoti i te 15n/30n^3

$$\frac { 15 n } { 30 n ^ { 3 } }$$

Aromātai

$$\frac{1}{2n^{2}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(15n^{1}\right)^{1}\times \frac{1}{30n^{3}}$$

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.

$$15^{1}\left(n^{1}\right)^{1}\times \frac{1}{30}\times \frac{1}{n^{3}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$15^{1}\times \frac{1}{30}\left(n^{1}\right)^{1}\times \frac{1}{n^{3}}$$

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

$$15^{1}\times \frac{1}{30}n^{1}n^{3\left(-1\right)}$$

Whakareatia 3 ki te -1.

$$15^{1}\times \frac{1}{30}n^{1}n^{-3}$$

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

$$15^{1}\times \frac{1}{30}n^{1-3}$$

Tāpirihia ngā taupū 1 me -3.

$$15^{1}\times \frac{1}{30}n^{-2}$$

Hīkina te 15 ki te pū 1.

$$15\times \frac{1}{30}n^{-2}$$

Whakareatia 15 ki te \frac{1}{30}.

$$\frac{1}{2}n^{-2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{15^{1}n^{1}}{30^{1}n^{3}}$$

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

$$\frac{15^{1}n^{1-3}}{30^{1}}$$

Tango 3 mai i 1.

$$\frac{15^{1}n^{-2}}{30^{1}}$$

Whakahekea te hautanga \frac{15}{30} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 15.

$$\frac{1}{2}n^{-2}$$

Kimi Pārōnaki e ai ki n

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{15}{30}n^{1-3})$$

Mahia ngā tātaitanga.

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

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}.

$$-2\times \frac{1}{2}n^{-2-1}$$

Mahia ngā tātaitanga.

$$-n^{-3}$$