Whakaoti i te 24x^7y^2/16x^3y^4

$$\frac { 24 x ^ { 7 } y ^ { 2 } } { 16 x ^ { 3 } y ^ { 4 } }$$

Aromātai

$$\frac{3x^{4}}{2y^{2}}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{24^{1}x^{7}y^{2}}{16^{1}x^{3}y^{4}}$$

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

$$\frac{24^{1}}{16^{1}}x^{7-3}y^{2-4}$$

Tango 3 mai i 7.

$$\frac{24^{1}}{16^{1}}x^{4}y^{2-4}$$

Tango 4 mai i 2.

$$\frac{24^{1}}{16^{1}}x^{4}y^{-2}$$

Whakahekea te hautanga \frac{24}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{3}{2}x^{4}\times \frac{1}{y^{2}}$$

Kimi Pārōnaki e ai ki x

$$\frac{6x^{3}}{y^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{24y^{2}}{16y^{4}}x^{7-3})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{2y^{2}}x^{4})$$

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}.

$$4\times \frac{3}{2y^{2}}x^{4-1}$$

Mahia ngā tātaitanga.

$$\frac{6}{y^{2}}x^{3}$$