Whakaoti i te frac{r^{9}s^{2}t^{0}}{r^{-84}s^{3}t^0*r^12s^4t^5}

$$\frac { r ^ { 9 } s ^ { 2 } t ^ { 0 } } { r ^ { - 84 } s ^ { 3 } t ^ { 0 } \cdot r ^ { 12 } s ^ { 4 } t ^ { 5 } }$$

Aromātai

$$\frac{r^{81}}{\left(st\right)^{5}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te -84 me te 12 kia riro ai te -72.

$$\frac{r^{9}s^{2}t^{0}}{r^{-72}s^{3}t^{0}s^{4}t^{5}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 4 kia riro ai te 7.

$$\frac{r^{9}s^{2}t^{0}}{r^{-72}s^{7}t^{0}t^{5}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 0 me te 5 kia riro ai te 5.

$$\frac{r^{9}s^{2}t^{0}}{r^{-72}s^{7}t^{5}}$$

Me whakakore tahi te s^{2} i te taurunga me te tauraro.

$$\frac{t^{0}r^{9}}{r^{-72}s^{5}t^{5}}$$

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

$$\frac{t^{0}r^{81}}{s^{5}t^{5}}$$

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

$$\frac{r^{81}}{s^{5}t^{5}}$$

Kimi Pārōnaki e ai ki r

$$\frac{81r^{80}}{\left(st\right)^{5}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{t^{0}s^{2}}{t^{0}s^{3}s^{4}t^{5}r^{12}}r^{9-\left(-84\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{1}{r^{12}\left(st\right)^{5}}r^{93})$$

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}.

$$93\times \frac{1}{r^{12}\left(st\right)^{5}}r^{93-1}$$

Mahia ngā tātaitanga.

$$\frac{93}{r^{12}\left(st\right)^{5}}r^{92}$$