Whakaoti i te 2/x-1-1

$$\frac{ 2 }{ x-1 } -1$$

Aromātai

$$\frac{3-x}{x-1}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{x-1}{x-1}.

$$\frac{2}{x-1}-\frac{x-1}{x-1}$$

Tā te mea he rite te tauraro o \frac{2}{x-1} me \frac{x-1}{x-1}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{2-\left(x-1\right)}{x-1}$$

Mahia ngā whakarea i roto o 2-\left(x-1\right).

$$\frac{2-x+1}{x-1}$$

Whakakotahitia ngā kupu rite i 2-x+1.

$$\frac{3-x}{x-1}$$

Kimi Pārōnaki e ai ki x

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

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

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 1 ki te \frac{x-1}{x-1}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{x-1}-\frac{x-1}{x-1})$$

Tā te mea he rite te tauraro o \frac{2}{x-1} me \frac{x-1}{x-1}, me tango rāua mā te tango i ō raua taurunga.

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

Mahia ngā whakarea i roto o 2-\left(x-1\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2-x+1}{x-1})$$

Whakakotahitia ngā kupu rite i 2-x+1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3-x}{x-1})$$

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.

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

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}.

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

Mahia ngā tātaitanga.

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

Whakarohaina mā te āhuatanga tohatoha.

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

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

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

Mahia ngā tātaitanga.

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

Tangohia ngā taiapa kāore i te hiahiatia.

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

Pahekotia ngā kīanga tau ōrite.

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

Tangohia te -1 i -1 me te 3 i te 1.

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

Mō tētahi kupu t, t^{1}=t.

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

Mō tētahi kupu t mahue te 0, t^{0}=1.

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