Whakaoti i te r/pi*r^2

$$\frac { r } { \pi \cdot r ^ { 2 } }$$

Aromātai

$$\frac{1}{\pi r}$$

Ngā Upane mō te Hua o ngā Pānga Taupū e Rua

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(r^{1}\right)^{1}\times \frac{1}{\pi r^{2}}$$

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.

$$1^{1}\left(r^{1}\right)^{1}\times \frac{1}{\pi }\times \frac{1}{r^{2}}$$

Whakamahia te Āhuatanga Kōaro o te Whakareanga.

$$1^{1}\times \frac{1}{\pi }\left(r^{1}\right)^{1}\times \frac{1}{r^{2}}$$

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

$$1^{1}\times \frac{1}{\pi }r^{1}r^{2\left(-1\right)}$$

Whakareatia 2 ki te -1.

$$1^{1}\times \frac{1}{\pi }r^{1}r^{-2}$$

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

$$1^{1}\times \frac{1}{\pi }r^{1-2}$$

Tāpirihia ngā taupū 1 me -2.

$$1^{1}\times \frac{1}{\pi }\times \frac{1}{r}$$

Hīkina te \pi ki te pū -1.

$$\frac{1}{\pi }\times \frac{1}{r}$$

Kimi Pārōnaki e ai ki r

$$-\frac{1}{\pi r^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{\pi }r^{1-2})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{\pi }\times \frac{1}{r})$$

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}.

$$-\frac{1}{\pi }r^{-1-1}$$

Mahia ngā tātaitanga.

$$\left(-\frac{1}{\pi }\right)r^{-2}$$