Whakaoti i te 9b/45b^11

$$\frac { 9 b } { 45 b ^ { 11 } }$$

Aromātai

$$\frac{1}{5b^{10}}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(9b^{1}\right)^{1}\times \frac{1}{45b^{11}}$$

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.

$$9^{1}\left(b^{1}\right)^{1}\times \frac{1}{45}\times \frac{1}{b^{11}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$9^{1}\times \frac{1}{45}\left(b^{1}\right)^{1}\times \frac{1}{b^{11}}$$

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

$$9^{1}\times \frac{1}{45}b^{1}b^{11\left(-1\right)}$$

Whakareatia 11 ki te -1.

$$9^{1}\times \frac{1}{45}b^{1}b^{-11}$$

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

$$9^{1}\times \frac{1}{45}b^{1-11}$$

Tāpirihia ngā taupū 1 me -11.

$$9^{1}\times \frac{1}{45}b^{-10}$$

Hīkina te 9 ki te pū 1.

$$9\times \frac{1}{45}b^{-10}$$

Whakareatia 9 ki te \frac{1}{45}.

$$\frac{1}{5}b^{-10}$$

Ngā Upane mō te Otinga o ngā Pānga Taupū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{9^{1}b^{1}}{45^{1}b^{11}}$$

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

$$\frac{9^{1}b^{1-11}}{45^{1}}$$

Tango 11 mai i 1.

$$\frac{9^{1}b^{-10}}{45^{1}}$$

Whakahekea te hautanga \frac{9}{45} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 9.

$$\frac{1}{5}b^{-10}$$

Kimi Pārōnaki e ai ki b

$$-\frac{2}{b^{11}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{9}{45}b^{1-11})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{5}b^{-10})$$

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}.

$$-10\times \frac{1}{5}b^{-10-1}$$

Mahia ngā tātaitanga.

$$-2b^{-11}$$