Whakaoti i te -108x^6/-12x^2

$$\frac{ -108 { x }^{ 6 } }{ -12 { x }^{ 2 } }$$

Aromātai

$$9x^{4}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(-108x^{6}\right)^{1}\times \frac{1}{-12x^{2}}$$

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.

$$\left(-108\right)^{1}\left(x^{6}\right)^{1}\times \frac{1}{-12}\times \frac{1}{x^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$\left(-108\right)^{1}\times \frac{1}{-12}\left(x^{6}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6}x^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6}x^{-2}$$

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

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{6-2}$$

Tāpirihia ngā taupū 6 me -2.

$$\left(-108\right)^{1}\times \frac{1}{-12}x^{4}$$

Hīkina te -108 ki te pū 1.

$$-108\times \frac{1}{-12}x^{4}$$

Hīkina te -12 ki te pū -1.

$$-108\left(-\frac{1}{12}\right)x^{4}$$

Whakareatia -108 ki te -\frac{1}{12}.

$$9x^{4}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{\left(-108\right)^{1}x^{6}}{\left(-12\right)^{1}x^{2}}$$

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

$$\frac{\left(-108\right)^{1}x^{6-2}}{\left(-12\right)^{1}}$$

Tango 2 mai i 6.

$$\frac{\left(-108\right)^{1}x^{4}}{\left(-12\right)^{1}}$$

Whakawehe -108 ki te -12.

$$9x^{4}$$

Kimi Pārōnaki e ai ki x

$$36x^{3}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{108}{-12}\right)x^{6-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{4})$$

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}.

$$4\times 9x^{4-1}$$

Mahia ngā tātaitanga.

$$36x^{3}$$