Whakaoti i te frac{u^frac{7{6}}}{u^frac{12{5}}}

$$\frac { u ^ { \frac { 7 } { 6 } } } { u ^ { \frac { 12 } { 5 } } }$$

Aromātai

$$\frac{1}{u^{\frac{37}{30}}}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{u^{\frac{7}{6}}}{u^{\frac{12}{5}}}$$

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

$$u^{\frac{7}{6}-\frac{12}{5}}$$

Tango \frac{12}{5} mai i \frac{7}{6} mā te kimi i te tauraro pātahi me te tango i ngā taurunga, ka whakaiti i te hautanga ki ngā kīanga tau iti rawa e taea ana.

$$u^{-\frac{37}{30}}$$

Kimi Pārōnaki e ai ki u

$$-\frac{37}{30u^{\frac{67}{30}}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{1}u^{\frac{7}{6}-\frac{12}{5}})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(u^{-\frac{37}{30}})$$

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}.

$$-\frac{37}{30}u^{-\frac{37}{30}-1}$$

Mahia ngā tātaitanga.

$$-\frac{37}{30}u^{-\frac{67}{30}}$$