Whakaoti i te 2x^3/9+x^3

$$\frac { 2 x ^ { 3 } } { 9 + x ^ { 3 } }$$

Kimi Pārōnaki e ai ki x

$$54\times \left(\frac{x}{x^{3}+9}\right)^{2}$$

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.

$$\frac{\left(x^{3}+9\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{3})-2x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+9)}{\left(x^{3}+9\right)^{2}}$$

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}.

$$\frac{\left(x^{3}+9\right)\times 3\times 2x^{3-1}-2x^{3}\times 3x^{3-1}}{\left(x^{3}+9\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(x^{3}+9\right)\times 6x^{2}-2x^{3}\times 3x^{2}}{\left(x^{3}+9\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{x^{3}\times 6x^{2}+9\times 6x^{2}-2x^{3}\times 3x^{2}}{\left(x^{3}+9\right)^{2}}$$

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

$$\frac{6x^{3+2}+9\times 6x^{2}-2\times 3x^{3+2}}{\left(x^{3}+9\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{6x^{5}+54x^{2}-6x^{5}}{\left(x^{3}+9\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(6-6\right)x^{5}+54x^{2}}{\left(x^{3}+9\right)^{2}}$$

Tango 6 mai i 6.

$$\frac{54x^{2}}{\left(x^{3}+9\right)^{2}}$$

Aromātai

$$\frac{2x^{3}}{x^{3}+9}$$