Whakaoti i te 28*v^3*u^3/24*v^4*u^2

$$\frac { 28 \cdot v ^ { 3 } \cdot u ^ { 3 } } { 24 \cdot v ^ { 4 } \cdot u ^ { 2 } }$$

Aromātai

$$\frac{7u}{6v}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{28^{1}v^{3}u^{3}}{24^{1}v^{4}u^{2}}$$

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

$$\frac{28^{1}}{24^{1}}v^{3-4}u^{3-2}$$

Tango 4 mai i 3.

$$\frac{28^{1}}{24^{1}}\times \frac{1}{v}u^{3-2}$$

Tango 2 mai i 3.

$$\frac{28^{1}}{24^{1}}\times \frac{1}{v}u^{1}$$

Whakahekea te hautanga \frac{28}{24} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$\frac{7}{6}\times \frac{1}{v}u$$

Kimi Pārōnaki e ai ki v

$$-\frac{7u}{6v^{2}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{28u^{3}}{24u^{2}}v^{3-4})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}v}(\frac{7u}{6}\times \frac{1}{v})$$

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}.

$$-\frac{7u}{6}v^{-1-1}$$

Mahia ngā tātaitanga.

$$\left(-\frac{7u}{6}\right)v^{-2}$$