Whakaoti i te 28y^3/7y^7

$$\frac { 28 y ^ { 3 } } { 7 y ^ { 7 } }$$

Aromātai

$$\frac{4}{y^{4}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(28y^{3}\right)^{1}\times \frac{1}{7y^{7}}$$

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.

$$28^{1}\left(y^{3}\right)^{1}\times \frac{1}{7}\times \frac{1}{y^{7}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$28^{1}\times \frac{1}{7}\left(y^{3}\right)^{1}\times \frac{1}{y^{7}}$$

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

$$28^{1}\times \frac{1}{7}y^{3}y^{7\left(-1\right)}$$

Whakareatia 7 ki te -1.

$$28^{1}\times \frac{1}{7}y^{3}y^{-7}$$

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

$$28^{1}\times \frac{1}{7}y^{3-7}$$

Tāpirihia ngā taupū 3 me -7.

$$28^{1}\times \frac{1}{7}y^{-4}$$

Hīkina te 28 ki te pū 1.

$$28\times \frac{1}{7}y^{-4}$$

Whakareatia 28 ki te \frac{1}{7}.

$$4y^{-4}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{28^{1}y^{3}}{7^{1}y^{7}}$$

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

$$\frac{28^{1}y^{3-7}}{7^{1}}$$

Tango 7 mai i 3.

$$\frac{28^{1}y^{-4}}{7^{1}}$$

Whakawehe 28 ki te 7.

$$4y^{-4}$$

Kimi Pārōnaki e ai ki y

$$-\frac{16}{y^{5}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{28}{7}y^{3-7})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}y}(4y^{-4})$$

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}.

$$-4\times 4y^{-4-1}$$

Mahia ngā tātaitanga.

$$-16y^{-5}$$