Whakaoti i te (36x^-4)^-frac{1{2}}

$$( 36 x ^ { - 4 } ) ^ { - \frac { 1 } { 2 } }$$

Aromātai

$$\frac{x^{2}}{6}$$

Ngā Upane Otinga

Whakarohaina te \left(36x^{-4}\right)^{-\frac{1}{2}}.

$$36^{-\frac{1}{2}}\left(x^{-4}\right)^{-\frac{1}{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te -4 me te -\frac{1}{2} kia riro ai te 2.

$$36^{-\frac{1}{2}}x^{2}$$

Tātaihia te 36 mā te pū o -\frac{1}{2}, kia riro ko \frac{1}{6}.

$$\frac{1}{6}x^{2}$$

Kimi Pārōnaki e ai ki x

$$\frac{x}{3}$$

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).

$$-\frac{1}{2}\times \left(36x^{-4}\right)^{-\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}x}(36x^{-4})$$

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}.

$$-\frac{1}{2}\times \left(36x^{-4}\right)^{-\frac{3}{2}}\left(-4\right)\times 36x^{-4-1}$$

Whakarūnātia.

$$72x^{-5}\times \left(36x^{-4}\right)^{-\frac{3}{2}}$$