Whakaoti i te x^-1/4x^4

$$\frac { x ^ { - 1 } } { 4 x ^ { 4 } }$$

Aromātai

$$\frac{1}{4x^{5}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{1}{x^{1}}\times \frac{1}{4x^{4}}$$

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.

$$\frac{1}{1}\times \frac{1}{x^{1}}\times \frac{1}{4}\times \frac{1}{x^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$\frac{1}{1}\times \frac{1}{4}\times \frac{1}{x^{1}}\times \frac{1}{x^{4}}$$

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

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

Whakareatia 4 ki te -1.

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

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

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

Tāpirihia ngā taupū -1 me -4.

$$\frac{1}{1}\times \frac{1}{4}x^{-5}$$

Hīkina te 4 ki te pū -1.

$$\frac{1}{4}x^{-5}$$

Kimi Pārōnaki e ai ki x

$$-\frac{5}{4x^{6}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x^{-1-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x^{-5})$$

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}.

$$-5\times \frac{1}{4}x^{-5-1}$$

Mahia ngā tātaitanga.

$$-\frac{5}{4}x^{-6}$$