Whakaoti i te x^4*-1/x

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

Aromātai

$$-x^{3}$$

Ngā Upane Otinga

Tuhia te x^{4}\left(-\frac{1}{x}\right) hei hautanga kotahi.

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

Me whakakore tahi te x i te taurunga me te tauraro.

$$-x^{3}$$

Kimi Pārōnaki e ai ki x

$$-3x^{2}$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Hua

Mo ētahi pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te hua o ngā pānga e rua ko te pānga tuatahi whakareatia ki te pārōnaki o te pānga tuarua tāpiri i te pānga tuarua whakareatia ki te pārōnaki o te mea tuatahi.

$$x^{4}\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{x})-\frac{1}{x}\frac{\mathrm{d}}{\mathrm{d}x}(x^{4})$$

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}.

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

Whakarūnātia.

$$x^{4}x^{-2}-\frac{1}{x}\times 4x^{3}$$

Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.

$$x^{4-2}-4x^{-1+3}$$

Whakarūnātia.

$$x^{2}-4x^{2}$$