Whakaoti i te [x/x+1)+1

$$[ \frac { x } { x + 1 } ) + 1$$

Aromātai

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

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}.

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

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

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

Whakakotahitia ngā kupu rite i x+x+1.

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

Kimi Pārōnaki e ai ki x

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

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}.

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

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

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

Whakakotahitia ngā kupu rite i x+x+1.

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

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.

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

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}.

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

Mahia ngā tātaitanga.

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

Whakarohaina mā te āhuatanga tohatoha.

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

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

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

Tangohia ngā taiapa kāore i te hiahiatia.

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

Pahekotia ngā kīanga tau ōrite.

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

Tangohia te 2 i 2 me te 1 i te 2.

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

Mō tētahi kupu t, t^{1}=t.

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

Mō tētahi kupu t mahue te 0, t^{0}=1.

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