Whakaoti i te 11w^12z^5/22w^3z^3

$$\frac { 11 w ^ { 12 } z ^ { 5 } } { 22 w ^ { 3 } z ^ { 3 } }$$

Aromātai

$$\frac{z^{2}w^{9}}{2}$$

Ngā Upane e Whakamahi ana i te Āhuatanga o te Otinga o ngā Pū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{11^{1}w^{12}z^{5}}{22^{1}w^{3}z^{3}}$$

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

$$\frac{11^{1}}{22^{1}}w^{12-3}z^{5-3}$$

Tango 3 mai i 12.

$$\frac{11^{1}}{22^{1}}w^{9}z^{5-3}$$

Tango 3 mai i 5.

$$\frac{11^{1}}{22^{1}}w^{9}z^{2}$$

Whakahekea te hautanga \frac{11}{22} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$\frac{1}{2}w^{9}z^{2}$$

Kimi Pārōnaki e ai ki w

$$\frac{9z^{2}w^{8}}{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{11z^{5}}{22z^{3}}w^{12-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}w}(\frac{z^{2}}{2}w^{9})$$

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}.

$$9\times \frac{z^{2}}{2}w^{9-1}$$

Mahia ngā tātaitanga.

$$\frac{9z^{2}}{2}w^{8}$$