Whakaoti i te 2xy^2/6x^3*y

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

Aromātai

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

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{2^{1}x^{1}y^{2}}{6^{1}x^{3}y^{1}}$$

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

$$\frac{2^{1}}{6^{1}}x^{1-3}y^{2-1}$$

Tango 3 mai i 1.

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

Tango 1 mai i 2.

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

Whakahekea te hautanga \frac{2}{6} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

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

Kimi Pārōnaki e ai ki x

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

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{2}}{6y}x^{1-3})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

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