Whakaoti i te 4x^4/16x^7

$$\frac { 4 x ^ { 4 } } { 16 x ^ { 7 } }$$

Aromātai

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

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(4x^{4}\right)^{1}\times \frac{1}{16x^{7}}$$

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.

$$4^{1}\left(x^{4}\right)^{1}\times \frac{1}{16}\times \frac{1}{x^{7}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$4^{1}\times \frac{1}{16}\left(x^{4}\right)^{1}\times \frac{1}{x^{7}}$$

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

$$4^{1}\times \frac{1}{16}x^{4}x^{7\left(-1\right)}$$

Whakareatia 7 ki te -1.

$$4^{1}\times \frac{1}{16}x^{4}x^{-7}$$

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

$$4^{1}\times \frac{1}{16}x^{4-7}$$

Tāpirihia ngā taupū 4 me -7.

$$4^{1}\times \frac{1}{16}x^{-3}$$

Hīkina te 4 ki te pū 1.

$$4\times \frac{1}{16}x^{-3}$$

Whakareatia 4 ki te \frac{1}{16}.

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

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{4^{1}x^{4}}{16^{1}x^{7}}$$

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

$$\frac{4^{1}x^{4-7}}{16^{1}}$$

Tango 7 mai i 4.

$$\frac{4^{1}x^{-3}}{16^{1}}$$

Whakahekea te hautanga \frac{4}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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

Kimi Pārōnaki e ai ki x

$$-\frac{3}{4x^{4}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{16}x^{4-7})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}x^{-3})$$

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}.

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

Mahia ngā tātaitanga.

$$-\frac{3}{4}x^{-4}$$