Whakaoti i te 4x^4y/8x^5y^3

$$\frac { 4 x ^ { 4 } y } { 8 x ^ { 5 } y ^ { 3 } }$$

Aromātai

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

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{4^{1}x^{4}y^{1}}{8^{1}x^{5}y^{3}}$$

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

$$\frac{4^{1}}{8^{1}}x^{4-5}y^{1-3}$$

Tango 5 mai i 4.

$$\frac{4^{1}}{8^{1}}\times \frac{1}{x}y^{1-3}$$

Tango 3 mai i 1.

$$\frac{4^{1}}{8^{1}}\times \frac{1}{x}y^{-2}$$

Whakahekea te hautanga \frac{4}{8} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

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

Kimi Pārōnaki e ai ki x

$$-\frac{1}{2\left(xy\right)^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4y}{8y^{3}}x^{4-5})$$

Mahia ngā tātaitanga.

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

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}.

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

Mahia ngā tātaitanga.

$$\left(-\frac{1}{2y^{2}}\right)x^{-2}$$