Whakaoti i te x^5/x-4

$$\frac { x ^ { 5 } } { x - 4 }$$

Kimi Pārōnaki e ai ki x

$$\frac{4\left(x-5\right)x^{4}}{\left(x-4\right)^{2}}$$

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

Mō ngā pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te otinga o ngā pānga e rua ko te tauraro whakareatia ki te pārōnaki o te taurunga tango i te taurunga whakareatia ki te pārōnaki o te tauraro, ā, ka whakawehea te katoa ki te tauraro kua pūruatia.

$$\frac{\left(x^{1}-4\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{5})-x^{5}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-4)}{\left(x^{1}-4\right)^{2}}$$

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}.

$$\frac{\left(x^{1}-4\right)\times 5x^{5-1}-x^{5}x^{1-1}}{\left(x^{1}-4\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(x^{1}-4\right)\times 5x^{4}-x^{5}x^{0}}{\left(x^{1}-4\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{x^{1}\times 5x^{4}-4\times 5x^{4}-x^{5}x^{0}}{\left(x^{1}-4\right)^{2}}$$

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

$$\frac{5x^{1+4}-4\times 5x^{4}-x^{5}}{\left(x^{1}-4\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{5x^{5}-20x^{4}-x^{5}}{\left(x^{1}-4\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(5-1\right)x^{5}-20x^{4}}{\left(x^{1}-4\right)^{2}}$$

Tango 1 mai i 5.

$$\frac{4x^{5}-20x^{4}}{\left(x^{1}-4\right)^{2}}$$

Tauwehea te 4x^{4}.

$$\frac{4x^{4}\left(x^{1}-5x^{0}\right)}{\left(x^{1}-4\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{4x^{4}\left(x-5x^{0}\right)}{\left(x-4\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{4x^{4}\left(x-5\right)}{\left(x-4\right)^{2}}$$

Aromātai

$$\frac{x^{5}}{x-4}$$