Whakaoti i te 9x^10/3x^5

$$\frac { 9 x ^ { 10 } } { 3 x ^ { 5 } }$$

Aromātai

$$3x^{5}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(9x^{10}\right)^{1}\times \frac{1}{3x^{5}}$$

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.

$$9^{1}\left(x^{10}\right)^{1}\times \frac{1}{3}\times \frac{1}{x^{5}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$9^{1}\times \frac{1}{3}\left(x^{10}\right)^{1}\times \frac{1}{x^{5}}$$

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

$$9^{1}\times \frac{1}{3}x^{10}x^{5\left(-1\right)}$$

Whakareatia 5 ki te -1.

$$9^{1}\times \frac{1}{3}x^{10}x^{-5}$$

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

$$9^{1}\times \frac{1}{3}x^{10-5}$$

Tāpirihia ngā taupū 10 me -5.

$$9^{1}\times \frac{1}{3}x^{5}$$

Hīkina te 9 ki te pū 1.

$$9\times \frac{1}{3}x^{5}$$

Whakareatia 9 ki te \frac{1}{3}.

$$3x^{5}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{9^{1}x^{10}}{3^{1}x^{5}}$$

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

$$\frac{9^{1}x^{10-5}}{3^{1}}$$

Tango 5 mai i 10.

$$\frac{9^{1}x^{5}}{3^{1}}$$

Whakawehe 9 ki te 3.

$$3x^{5}$$

Kimi Pārōnaki e ai ki x

$$15x^{4}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9}{3}x^{10-5})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{5})$$

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}.

$$5\times 3x^{5-1}$$

Mahia ngā tātaitanga.

$$15x^{4}$$