Whakaoti i te (49x^3)^-frac{3{2}}

$$( 49 x ^ { 3 } ) ^ { - \frac { 3 } { 2 } }$$

Aromātai

$$\frac{1}{343x^{\frac{9}{2}}}$$

Ngā Upane Otinga

Whakarohaina te \left(49x^{3}\right)^{-\frac{3}{2}}.

$$49^{-\frac{3}{2}}\left(x^{3}\right)^{-\frac{3}{2}}$$

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū. Me whakarea te 3 me te -\frac{3}{2} kia riro ai te -\frac{9}{2}.

$$49^{-\frac{3}{2}}x^{-\frac{9}{2}}$$

Tātaihia te 49 mā te pū o -\frac{3}{2}, kia riro ko \frac{1}{343}.

$$\frac{1}{343}x^{-\frac{9}{2}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{9}{686x^{\frac{11}{2}}}$$

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).

$$-\frac{3}{2}\times \left(49x^{3}\right)^{-\frac{3}{2}-1}\frac{\mathrm{d}}{\mathrm{d}x}(49x^{3})$$

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}.

$$-\frac{3}{2}\times \left(49x^{3}\right)^{-\frac{5}{2}}\times 3\times 49x^{3-1}$$

Whakarūnātia.

$$-\frac{441}{2}x^{2}\times \left(49x^{3}\right)^{-\frac{5}{2}}$$