Whakaoti i te 4x^2y^6/2xy

$$\frac { 4 x ^ { 2 } y ^ { 6 } } { 2 x y }$$

Aromātai

$$2xy^{5}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{4^{1}x^{2}y^{6}}{2^{1}x^{1}y^{1}}$$

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

$$\frac{4^{1}}{2^{1}}x^{2-1}y^{6-1}$$

Tango 1 mai i 2.

$$\frac{4^{1}}{2^{1}}x^{1}y^{6-1}$$

Tango 1 mai i 6.

$$\frac{4^{1}}{2^{1}}xy^{5}$$

Whakawehe 4 ki te 2.

$$2xy^{5}$$

Kimi Pārōnaki e ai ki x

$$2y^{5}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4y^{6}}{2y}x^{2-1})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2y^{5}x^{1})$$

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}.

$$2y^{5}x^{1-1}$$

Mahia ngā tātaitanga.

$$2y^{5}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$2y^{5}\times 1$$

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

$$2y^{5}$$