Whakaoti i te 7v^2/42v^3

$$\frac { 7 v ^ { 2 } } { 42 v ^ { 3 } }$$

Aromātai

$$\frac{1}{6v}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(7v^{2}\right)^{1}\times \frac{1}{42v^{3}}$$

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.

$$7^{1}\left(v^{2}\right)^{1}\times \frac{1}{42}\times \frac{1}{v^{3}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$7^{1}\times \frac{1}{42}\left(v^{2}\right)^{1}\times \frac{1}{v^{3}}$$

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

$$7^{1}\times \frac{1}{42}v^{2}v^{3\left(-1\right)}$$

Whakareatia 3 ki te -1.

$$7^{1}\times \frac{1}{42}v^{2}v^{-3}$$

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

$$7^{1}\times \frac{1}{42}v^{2-3}$$

Tāpirihia ngā taupū 2 me -3.

$$7^{1}\times \frac{1}{42}\times \frac{1}{v}$$

Hīkina te 7 ki te pū 1.

$$7\times \frac{1}{42}\times \frac{1}{v}$$

Whakareatia 7 ki te \frac{1}{42}.

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

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{7^{1}v^{2}}{42^{1}v^{3}}$$

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

$$\frac{7^{1}v^{2-3}}{42^{1}}$$

Tango 3 mai i 2.

$$\frac{7^{1}\times \frac{1}{v}}{42^{1}}$$

Whakahekea te hautanga \frac{7}{42} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

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

Kimi Pārōnaki e ai ki v

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{7}{42}v^{2-3})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

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