Whakaoti i te 25x^2y^5/5x^4y^3

$$\frac { 25 x ^ { 2 } y ^ { 5 } } { 5 x ^ { 4 } y ^ { 3 } }$$

Aromātai

$$5\times \left(\frac{y}{x}\right)^{2}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{25^{1}x^{2}y^{5}}{5^{1}x^{4}y^{3}}$$

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

$$\frac{25^{1}}{5^{1}}x^{2-4}y^{5-3}$$

Tango 4 mai i 2.

$$\frac{25^{1}}{5^{1}}x^{-2}y^{5-3}$$

Tango 3 mai i 5.

$$\frac{25^{1}}{5^{1}}\times \frac{1}{x^{2}}y^{2}$$

Whakawehe 25 ki te 5.

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

Kimi Pārōnaki e ai ki x

$$-\frac{10y^{2}}{x^{3}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{25y^{5}}{5y^{3}}x^{2-4})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

$$\left(-10y^{2}\right)x^{-3}$$