Whakaoti i te {left(x^3right)}^-frac{1{3}}

$${ \left( { x }^{ 3 } \right) }^{ - \frac{ 1 }{ 3 } }$$

Aromātai

$$\frac{1}{x}$$

Ngā Upane mō te Hāpai i Tētahi Pū ki Tētahi Atu Pū

Whakamahia ngā ture taupū hei whakarūnā i te kīanga.

$$\left(x^{3}\right)^{-\frac{1}{3}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

$$x^{3\left(-\frac{1}{3}\right)}$$

Whakareatia 3 ki te -\frac{1}{3}.

$$\frac{1}{x}$$

Kimi Pārōnaki e ai ki x

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

Ngā Upane e Whakamahi ana i te Ture Mekameka

Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

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

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}.

$$-\frac{1}{3}\left(x^{3}\right)^{-\frac{4}{3}}\times 3x^{3-1}$$

Whakarūnātia.

$$-x^{2}\left(x^{3}\right)^{-\frac{4}{3}}$$