Whakaoti i te 2x^2/8x^8

$$\frac { 2 x ^ { 2 } } { 8 x ^ { 8 } }$$

Aromātai

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

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(2x^{2}\right)^{1}\times \frac{1}{8x^{8}}$$

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.

$$2^{1}\left(x^{2}\right)^{1}\times \frac{1}{8}\times \frac{1}{x^{8}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$2^{1}\times \frac{1}{8}\left(x^{2}\right)^{1}\times \frac{1}{x^{8}}$$

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

$$2^{1}\times \frac{1}{8}x^{2}x^{8\left(-1\right)}$$

Whakareatia 8 ki te -1.

$$2^{1}\times \frac{1}{8}x^{2}x^{-8}$$

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

$$2^{1}\times \frac{1}{8}x^{2-8}$$

Tāpirihia ngā taupū 2 me -8.

$$2^{1}\times \frac{1}{8}x^{-6}$$

Hīkina te 2 ki te pū 1.

$$2\times \frac{1}{8}x^{-6}$$

Whakareatia 2 ki te \frac{1}{8}.

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

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{2^{1}x^{2}}{8^{1}x^{8}}$$

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

$$\frac{2^{1}x^{2-8}}{8^{1}}$$

Tango 8 mai i 2.

$$\frac{2^{1}x^{-6}}{8^{1}}$$

Whakahekea te hautanga \frac{2}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Kimi Pārōnaki e ai ki x

$$-\frac{3}{2x^{7}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{8}x^{2-8})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x^{-6})$$

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}.

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

Mahia ngā tātaitanga.

$$-\frac{3}{2}x^{-7}$$