Whakaoti i te y/2y^2+7y+6

$$\frac { y } { 2 y ^ { 2 } + 7 y + 6 }$$

Kimi Pārōnaki e ai ki y

$$\frac{2\left(3-y^{2}\right)}{\left(\left(y+2\right)\left(2y+3\right)\right)^{2}}$$

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.

$$\frac{\left(2y^{2}+7y^{1}+6\right)\frac{\mathrm{d}}{\mathrm{d}y}(y^{1})-y^{1}\frac{\mathrm{d}}{\mathrm{d}y}(2y^{2}+7y^{1}+6)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

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}.

$$\frac{\left(2y^{2}+7y^{1}+6\right)y^{1-1}-y^{1}\left(2\times 2y^{2-1}+7y^{1-1}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Whakarūnātia.

$$\frac{\left(2y^{2}+7y^{1}+6\right)y^{0}-y^{1}\left(4y^{1}+7y^{0}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Whakareatia 2y^{2}+7y^{1}+6 ki te y^{0}.

$$\frac{2y^{2}y^{0}+7y^{1}y^{0}+6y^{0}-y^{1}\left(4y^{1}+7y^{0}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Whakareatia y^{1} ki te 4y^{1}+7y^{0}.

$$\frac{2y^{2}y^{0}+7y^{1}y^{0}+6y^{0}-\left(y^{1}\times 4y^{1}+y^{1}\times 7y^{0}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

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

$$\frac{2y^{2}+7y^{1}+6y^{0}-\left(4y^{1+1}+7y^{1}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Whakarūnātia.

$$\frac{2y^{2}+7y^{1}+6y^{0}-\left(4y^{2}+7y^{1}\right)}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{-2y^{2}+6y^{0}}{\left(2y^{2}+7y^{1}+6\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{-2y^{2}+6y^{0}}{\left(2y^{2}+7y+6\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{-2y^{2}+6\times 1}{\left(2y^{2}+7y+6\right)^{2}}$$

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

$$\frac{-2y^{2}+6}{\left(2y^{2}+7y+6\right)^{2}}$$

Aromātai

$$\frac{y}{\left(y+2\right)\left(2y+3\right)}$$