Whakaoti i te frac{u^frac{3{5}}}{u^frac{3{4}}}

$$\frac { u ^ { \frac { 3 } { 5 } } } { u ^ { \frac { 3 } { 4 } } }$$

Aromātai

$$\frac{1}{u^{\frac{3}{20}}}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{u^{\frac{3}{5}}}{u^{\frac{3}{4}}}$$

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

$$u^{\frac{3}{5}-\frac{3}{4}}$$

Tango \frac{3}{4} mai i \frac{3}{5} 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.

$$u^{-\frac{3}{20}}$$

Kimi Pārōnaki e ai ki u

$$-\frac{3}{20u^{\frac{23}{20}}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{1}u^{\frac{3}{5}-\frac{3}{4}})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(u^{-\frac{3}{20}})$$

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}.

$$-\frac{3}{20}u^{-\frac{3}{20}-1}$$

Mahia ngā tātaitanga.

$$-\frac{3}{20}u^{-\frac{23}{20}}$$