Whakaoti i te 7*b^5/b^4

$$\frac { 7 \cdot b ^ { 5 } } { b ^ { 4 } }$$

Aromātai

$$7b$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(7b^{5}\right)^{1}\times \frac{1}{b^{4}}$$

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.

$$7^{1}\left(b^{5}\right)^{1}\times \frac{1}{1}\times \frac{1}{b^{4}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$7^{1}\times \frac{1}{1}\left(b^{5}\right)^{1}\times \frac{1}{b^{4}}$$

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

$$7^{1}\times \frac{1}{1}b^{5}b^{4\left(-1\right)}$$

Whakareatia 4 ki te -1.

$$7^{1}\times \frac{1}{1}b^{5}b^{-4}$$

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

$$7^{1}\times \frac{1}{1}b^{5-4}$$

Tāpirihia ngā taupū 5 me -4.

$$7^{1}\times \frac{1}{1}b^{1}$$

Hīkina te 7 ki te pū 1.

$$7\times \frac{1}{1}b^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$7\times \frac{1}{1}b$$

Kimi Pārōnaki e ai ki b

$$7$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{7}{1}b^{5-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}b}(7b^{1})$$

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}.

$$7b^{1-1}$$

Mahia ngā tātaitanga.

$$7b^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$7\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$7$$