Whakaoti i te 60x^2y^3/12xy

$$\frac { 60 x ^ { 2 } y ^ { 3 } } { 12 x y }$$

Aromātai

$$5xy^{2}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{60^{1}x^{2}y^{3}}{12^{1}x^{1}y^{1}}$$

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

$$\frac{60^{1}}{12^{1}}x^{2-1}y^{3-1}$$

Tango 1 mai i 2.

$$\frac{60^{1}}{12^{1}}x^{1}y^{3-1}$$

Tango 1 mai i 3.

$$\frac{60^{1}}{12^{1}}xy^{2}$$

Whakawehe 60 ki te 12.

$$5xy^{2}$$

Kimi Pārōnaki e ai ki x

$$5y^{2}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{60y^{3}}{12y}x^{2-1})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

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

Mō tētahi kupu t mahue te 0, t^{0}=1.

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

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

$$5y^{2}$$