Whakaoti i te 48x^2/6x^3

$$\frac { 48 x ^ { 2 } } { 6 x ^ { 3 } }$$

Aromātai

$$\frac{8}{x}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(48x^{2}\right)^{1}\times \frac{1}{6x^{3}}$$

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.

$$48^{1}\left(x^{2}\right)^{1}\times \frac{1}{6}\times \frac{1}{x^{3}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$48^{1}\times \frac{1}{6}\left(x^{2}\right)^{1}\times \frac{1}{x^{3}}$$

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

$$48^{1}\times \frac{1}{6}x^{2}x^{3\left(-1\right)}$$

Whakareatia 3 ki te -1.

$$48^{1}\times \frac{1}{6}x^{2}x^{-3}$$

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

$$48^{1}\times \frac{1}{6}x^{2-3}$$

Tāpirihia ngā taupū 2 me -3.

$$48^{1}\times \frac{1}{6}\times \frac{1}{x}$$

Hīkina te 48 ki te pū 1.

$$48\times \frac{1}{6}\times \frac{1}{x}$$

Whakareatia 48 ki te \frac{1}{6}.

$$8\times \frac{1}{x}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{48^{1}x^{2}}{6^{1}x^{3}}$$

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

$$\frac{48^{1}x^{2-3}}{6^{1}}$$

Tango 3 mai i 2.

$$\frac{48^{1}\times \frac{1}{x}}{6^{1}}$$

Whakawehe 48 ki te 6.

$$8\times \frac{1}{x}$$

Kimi Pārōnaki e ai ki x

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{48}{6}x^{2-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8\times \frac{1}{x})$$

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}.

$$-8x^{-1-1}$$

Mahia ngā tātaitanga.

$$-8x^{-2}$$