Whakaoti i te 3n/2n^2

$$\frac { 3 n } { 2 n ^ { 2 } }$$

Aromātai

$$\frac{3}{2n}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(3n^{1}\right)^{1}\times \frac{1}{2n^{2}}$$

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.

$$3^{1}\left(n^{1}\right)^{1}\times \frac{1}{2}\times \frac{1}{n^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$3^{1}\times \frac{1}{2}\left(n^{1}\right)^{1}\times \frac{1}{n^{2}}$$

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

$$3^{1}\times \frac{1}{2}n^{1}n^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$3^{1}\times \frac{1}{2}n^{1}n^{-2}$$

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

$$3^{1}\times \frac{1}{2}n^{1-2}$$

Tāpirihia ngā taupū 1 me -2.

$$3^{1}\times \frac{1}{2}\times \frac{1}{n}$$

Hīkina te 3 ki te pū 1.

$$3\times \frac{1}{2}\times \frac{1}{n}$$

Whakareatia 3 ki te \frac{1}{2}.

$$\frac{3}{2}\times \frac{1}{n}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{3^{1}n^{1}}{2^{1}n^{2}}$$

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

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

Tango 2 mai i 1.

$$\frac{3^{1}\times \frac{1}{n}}{2^{1}}$$

Whakawehe 3 ki te 2.

$$\frac{3}{2}\times \frac{1}{n}$$

Kimi Pārōnaki e ai ki n

$$-\frac{3}{2n^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3}{2}n^{1-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}n}(\frac{3}{2}\times \frac{1}{n})$$

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}.

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

Mahia ngā tātaitanga.

$$-\frac{3}{2}n^{-2}$$