Whakaoti i te frac{u^frac{2{3}}}{u^frac{3{5}}}

$$\frac { u ^ { \frac { 2 } { 3 } } } { u ^ { \frac { 3 } { 5 } } }$$

Aromātai

$$\sqrt[15]{u}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{u^{\frac{2}{3}}}{u^{\frac{3}{5}}}$$

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

$$u^{\frac{2}{3}-\frac{3}{5}}$$

Tango \frac{3}{5} mai i \frac{2}{3} 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.

$$\sqrt[15]{u}$$

Kimi Pārōnaki e ai ki u

$$\frac{1}{15u^{\frac{14}{15}}}$$

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.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\frac{1}{1}u^{\frac{2}{3}-\frac{3}{5}})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}u}(\sqrt[15]{u})$$

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}.

$$\frac{1}{15}u^{\frac{1}{15}-1}$$

Mahia ngā tātaitanga.

$$\frac{1}{15}u^{-\frac{14}{15}}$$