Whakaoti i te 40x^4/12x^2

$$\frac { 40 x ^ { 4 } } { 12 x ^ { 2 } }$$

Aromātai

$$\frac{10x^{2}}{3}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(40x^{4}\right)^{1}\times \frac{1}{12x^{2}}$$

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.

$$40^{1}\left(x^{4}\right)^{1}\times \frac{1}{12}\times \frac{1}{x^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$40^{1}\times \frac{1}{12}\left(x^{4}\right)^{1}\times \frac{1}{x^{2}}$$

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

$$40^{1}\times \frac{1}{12}x^{4}x^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$40^{1}\times \frac{1}{12}x^{4}x^{-2}$$

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

$$40^{1}\times \frac{1}{12}x^{4-2}$$

Tāpirihia ngā taupū 4 me -2.

$$40^{1}\times \frac{1}{12}x^{2}$$

Hīkina te 40 ki te pū 1.

$$40\times \frac{1}{12}x^{2}$$

Whakareatia 40 ki te \frac{1}{12}.

$$\frac{10}{3}x^{2}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{40^{1}x^{4}}{12^{1}x^{2}}$$

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

$$\frac{40^{1}x^{4-2}}{12^{1}}$$

Tango 2 mai i 4.

$$\frac{40^{1}x^{2}}{12^{1}}$$

Whakahekea te hautanga \frac{40}{12} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{10}{3}x^{2}$$

Kimi Pārōnaki e ai ki x

$$\frac{20x}{3}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{40}{12}x^{4-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{10}{3}x^{2})$$

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}.

$$2\times \frac{10}{3}x^{2-1}$$

Mahia ngā tātaitanga.

$$\frac{20}{3}x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{20}{3}x$$