Whakaoti i te 34x^10y^8/2x^8y^6

$$\frac { 34 x ^ { 10 } y ^ { 8 } } { 2 x ^ { 8 } y ^ { 6 } }$$

Aromātai

$$17\left(xy\right)^{2}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{34^{1}x^{10}y^{8}}{2^{1}x^{8}y^{6}}$$

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

$$\frac{34^{1}}{2^{1}}x^{10-8}y^{8-6}$$

Tango 8 mai i 10.

$$\frac{34^{1}}{2^{1}}x^{2}y^{8-6}$$

Tango 6 mai i 8.

$$\frac{34^{1}}{2^{1}}x^{2}y^{2}$$

Whakawehe 34 ki te 2.

$$17x^{2}y^{2}$$

Kimi Pārōnaki e ai ki x

$$34xy^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{34y^{8}}{2y^{6}}x^{10-8})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17y^{2}x^{2})$$

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}.

$$2\times 17y^{2}x^{2-1}$$

Mahia ngā tātaitanga.

$$34y^{2}x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$34y^{2}x$$