Whakaoti i te 36x^16y^18/29x^8y^8

$$\frac { 36 x ^ { 16 } y ^ { 18 } } { 29 x ^ { 8 } y ^ { 8 } }$$

Aromātai

$$\frac{36x^{8}y^{10}}{29}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{36^{1}x^{16}y^{18}}{29^{1}x^{8}y^{8}}$$

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

$$\frac{36^{1}}{29^{1}}x^{16-8}y^{18-8}$$

Tango 8 mai i 16.

$$\frac{36^{1}}{29^{1}}x^{8}y^{18-8}$$

Tango 8 mai i 18.

$$\frac{36^{1}}{29^{1}}x^{8}y^{10}$$

Whakawehe 36 ki te 29.

$$\frac{36}{29}x^{8}y^{10}$$

Kimi Pārōnaki e ai ki x

$$\frac{288x^{7}y^{10}}{29}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{36y^{18}}{29y^{8}}x^{16-8})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{36y^{10}}{29}x^{8})$$

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}.

$$8\times \frac{36y^{10}}{29}x^{8-1}$$

Mahia ngā tātaitanga.

$$\frac{288y^{10}}{29}x^{7}$$