Whakaoti i te 2x/3x+5

$$\frac{ 2x }{ 3x+5 }$$

Kimi Pārōnaki e ai ki x

$$\frac{10}{\left(3x+5\right)^{2}}$$

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.

$$\frac{\left(3x^{1}+5\right)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})-2x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(3x^{1}+5)}{\left(3x^{1}+5\right)^{2}}$$

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}.

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

Mahia ngā tātaitanga.

$$\frac{\left(3x^{1}+5\right)\times 2x^{0}-2x^{1}\times 3x^{0}}{\left(3x^{1}+5\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{3x^{1}\times 2x^{0}+5\times 2x^{0}-2x^{1}\times 3x^{0}}{\left(3x^{1}+5\right)^{2}}$$

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

$$\frac{3\times 2x^{1}+5\times 2x^{0}-2\times 3x^{1}}{\left(3x^{1}+5\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{6x^{1}+10x^{0}-6x^{1}}{\left(3x^{1}+5\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(6-6\right)x^{1}+10x^{0}}{\left(3x^{1}+5\right)^{2}}$$

Tango 6 mai i 6.

$$\frac{10x^{0}}{\left(3x^{1}+5\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{10x^{0}}{\left(3x+5\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{10\times 1}{\left(3x+5\right)^{2}}$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$\frac{10}{\left(3x+5\right)^{2}}$$

Aromātai

$$\frac{2x}{3x+5}$$