Whakaoti i te x^frac{1{3}}divx^frac{2{3}}

$$x ^ { \frac { 1 } { 3 } } \div x ^ { \frac { 2 } { 3 } }$$

Aromātai

$$\frac{1}{\sqrt[3]{x}}$$

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

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\frac{\sqrt[3]{x}}{x^{\frac{2}{3}}}$$

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

$$x^{\frac{1}{3}-\frac{2}{3}}$$

Tango \frac{2}{3} mai i \frac{1}{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.

$$x^{-\frac{1}{3}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{1}{3x^{\frac{4}{3}}}$$

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.

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

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{-\frac{1}{3}})$$

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}.

$$-\frac{1}{3}x^{-\frac{1}{3}-1}$$

Mahia ngā tātaitanga.

$$-\frac{1}{3}x^{-\frac{4}{3}}$$