Whakaoti i te 36w^4/63w^6

$$\frac { 36 w ^ { 4 } } { 63 w ^ { 6 } }$$

Aromātai

$$\frac{4}{7w^{2}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(36w^{4}\right)^{1}\times \frac{1}{63w^{6}}$$

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.

$$36^{1}\left(w^{4}\right)^{1}\times \frac{1}{63}\times \frac{1}{w^{6}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$36^{1}\times \frac{1}{63}\left(w^{4}\right)^{1}\times \frac{1}{w^{6}}$$

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

$$36^{1}\times \frac{1}{63}w^{4}w^{6\left(-1\right)}$$

Whakareatia 6 ki te -1.

$$36^{1}\times \frac{1}{63}w^{4}w^{-6}$$

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

$$36^{1}\times \frac{1}{63}w^{4-6}$$

Tāpirihia ngā taupū 4 me -6.

$$36^{1}\times \frac{1}{63}w^{-2}$$

Hīkina te 36 ki te pū 1.

$$36\times \frac{1}{63}w^{-2}$$

Whakareatia 36 ki te \frac{1}{63}.

$$\frac{4}{7}w^{-2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{36^{1}w^{4}}{63^{1}w^{6}}$$

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

$$\frac{36^{1}w^{4-6}}{63^{1}}$$

Tango 6 mai i 4.

$$\frac{36^{1}w^{-2}}{63^{1}}$$

Whakahekea te hautanga \frac{36}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{4}{7}w^{-2}$$

Kimi Pārōnaki e ai ki w

$$-\frac{8}{7w^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{36}{63}w^{4-6})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{4}{7}w^{-2})$$

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}.

$$-2\times \frac{4}{7}w^{-2-1}$$

Mahia ngā tātaitanga.

$$-\frac{8}{7}w^{-3}$$