Whakaoti i te 8y^7z^6/4y^6z^5

$$\frac { 8 y ^ { 7 } z ^ { 6 } } { 4 y ^ { 6 } z ^ { 5 } }$$

Aromātai

$$2yz$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{8^{1}y^{7}z^{6}}{4^{1}y^{6}z^{5}}$$

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

$$\frac{8^{1}}{4^{1}}y^{7-6}z^{6-5}$$

Tango 6 mai i 7.

$$\frac{8^{1}}{4^{1}}y^{1}z^{6-5}$$

Tango 5 mai i 6.

$$\frac{8^{1}}{4^{1}}yz^{1}$$

Whakawehe 8 ki te 4.

$$2yz$$

Kimi Pārōnaki e ai ki y

$$2z$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{8z^{6}}{4z^{5}}y^{7-6})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2zy^{1})$$

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}.

$$2zy^{1-1}$$

Mahia ngā tātaitanga.

$$2zy^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$2z\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$2z$$