Whakaoti i te 9x^2y^4/6xy^7

$$\frac { 9 x ^ { 2 } y ^ { 4 } } { 6 x y ^ { 7 } }$$

Aromātai

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

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{9^{1}x^{2}y^{4}}{6^{1}x^{1}y^{7}}$$

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

$$\frac{9^{1}}{6^{1}}x^{2-1}y^{4-7}$$

Tango 1 mai i 2.

$$\frac{9^{1}}{6^{1}}x^{1}y^{4-7}$$

Tango 7 mai i 4.

$$\frac{9^{1}}{6^{1}}xy^{-3}$$

Whakahekea te hautanga \frac{9}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{3}{2}x\times \frac{1}{y^{3}}$$

Kimi Pārōnaki e ai ki x

$$\frac{3}{2y^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9y^{4}}{6y^{7}}x^{2-1})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

$$\frac{3}{2y^{3}}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{3}{2y^{3}}\times 1$$

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

$$\frac{3}{2y^{3}}$$