Whakaoti i te 6x^7/3x^4

$$\frac { 6 x ^ { 7 } } { 3 x ^ { 4 } }$$

Aromātai

$$2x^{3}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(6x^{7}\right)^{1}\times \frac{1}{3x^{4}}$$

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.

$$6^{1}\left(x^{7}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$6^{1}\times \frac{1}{3}\left(x^{7}\right)^{1}\times \frac{1}{x^{4}}$$

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

$$6^{1}\times \frac{1}{3}x^{7}x^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$6^{1}\times \frac{1}{3}x^{7}x^{-4}$$

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

$$6^{1}\times \frac{1}{3}x^{7-4}$$

Tāpirihia ngā taupū 7 me -4.

$$6^{1}\times \frac{1}{3}x^{3}$$

Hīkina te 6 ki te pū 1.

$$6\times \frac{1}{3}x^{3}$$

Whakareatia 6 ki te \frac{1}{3}.

$$2x^{3}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{6^{1}x^{7}}{3^{1}x^{4}}$$

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

$$\frac{6^{1}x^{7-4}}{3^{1}}$$

Tango 4 mai i 7.

$$\frac{6^{1}x^{3}}{3^{1}}$$

Whakawehe 6 ki te 3.

$$2x^{3}$$

Kimi Pārōnaki e ai ki x

$$6x^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{6}{3}x^{7-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3})$$

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}.

$$3\times 2x^{3-1}$$

Mahia ngā tātaitanga.

$$6x^{2}$$