Whakaoti i te x^3/x^3+16

$$\frac{ { x }^{ 3 } }{ { x }^{ 3 } +16 }$$

Kimi Pārōnaki e ai ki x

$$48\times \left(\frac{x}{x^{3}+16}\right)^{2}$$

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.

$$\frac{\left(x^{3}+16\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{3})-x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+16)}{\left(x^{3}+16\right)^{2}}$$

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}.

$$\frac{\left(x^{3}+16\right)\times 3x^{3-1}-x^{3}\times 3x^{3-1}}{\left(x^{3}+16\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(x^{3}+16\right)\times 3x^{2}-x^{3}\times 3x^{2}}{\left(x^{3}+16\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{x^{3}\times 3x^{2}+16\times 3x^{2}-x^{3}\times 3x^{2}}{\left(x^{3}+16\right)^{2}}$$

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

$$\frac{3x^{3+2}+16\times 3x^{2}-3x^{3+2}}{\left(x^{3}+16\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{3x^{5}+48x^{2}-3x^{5}}{\left(x^{3}+16\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(3-3\right)x^{5}+48x^{2}}{\left(x^{3}+16\right)^{2}}$$

Tango 3 mai i 3.

$$\frac{48x^{2}}{\left(x^{3}+16\right)^{2}}$$

Aromātai

$$\frac{x^{3}}{x^{3}+16}$$