Whakaoti i te frac{10p^{4}q^{3}*2p^2q^3}{5p^8q^3}

$$\frac { 10 p ^ { 4 } q ^ { 3 } \times 2 p ^ { 2 } q ^ { 3 } } { 5 p ^ { 8 } q ^ { 3 } }$$

Aromātai

$$\frac{4q^{3}}{p^{2}}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 2 kia riro ai te 6.

$$\frac{10p^{6}q^{3}\times 2q^{3}}{5p^{8}q^{3}}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 3 kia riro ai te 6.

$$\frac{10p^{6}q^{6}\times 2}{5p^{8}q^{3}}$$

Me whakakore tahi te 5q^{3}p^{6} i te taurunga me te tauraro.

$$\frac{2\times 2q^{3}}{p^{2}}$$

Whakareatia te 2 ki te 2, ka 4.

$$\frac{4q^{3}}{p^{2}}$$

Kimi Pārōnaki e ai ki p

$$-8\times \left(\frac{q}{p}\right)^{3}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{20p^{2}q^{6}}{5q^{3}}p^{4-8})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}p}(4p^{2}q^{3}p^{-4})$$

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}.

$$-4\times 4p^{2}q^{3}p^{-4-1}$$

Mahia ngā tātaitanga.

$$\left(-16p^{2}q^{3}\right)p^{-5}$$