Whakaoti i te 2r/r+10+5

$$\frac { 2 r } { r + 10 } + 5$$

Aromātai

$$\frac{7r+50}{r+10}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 5 ki te \frac{r+10}{r+10}.

$$\frac{2r}{r+10}+\frac{5\left(r+10\right)}{r+10}$$

Tā te mea he rite te tauraro o \frac{2r}{r+10} me \frac{5\left(r+10\right)}{r+10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{2r+5\left(r+10\right)}{r+10}$$

Mahia ngā whakarea i roto o 2r+5\left(r+10\right).

$$\frac{2r+5r+50}{r+10}$$

Whakakotahitia ngā kupu rite i 2r+5r+50.

$$\frac{7r+50}{r+10}$$

Kimi Pārōnaki e ai ki r

$$\frac{20}{\left(r+10\right)^{2}}$$

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 5 ki te \frac{r+10}{r+10}.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2r}{r+10}+\frac{5\left(r+10\right)}{r+10})$$

Tā te mea he rite te tauraro o \frac{2r}{r+10} me \frac{5\left(r+10\right)}{r+10}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2r+5\left(r+10\right)}{r+10})$$

Mahia ngā whakarea i roto o 2r+5\left(r+10\right).

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{2r+5r+50}{r+10})$$

Whakakotahitia ngā kupu rite i 2r+5r+50.

$$\frac{\mathrm{d}}{\mathrm{d}r}(\frac{7r+50}{r+10})$$

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.

$$\frac{\left(r^{1}+10\right)\frac{\mathrm{d}}{\mathrm{d}r}(7r^{1}+50)-\left(7r^{1}+50\right)\frac{\mathrm{d}}{\mathrm{d}r}(r^{1}+10)}{\left(r^{1}+10\right)^{2}}$$

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}.

$$\frac{\left(r^{1}+10\right)\times 7r^{1-1}-\left(7r^{1}+50\right)r^{1-1}}{\left(r^{1}+10\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(r^{1}+10\right)\times 7r^{0}-\left(7r^{1}+50\right)r^{0}}{\left(r^{1}+10\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{r^{1}\times 7r^{0}+10\times 7r^{0}-\left(7r^{1}r^{0}+50r^{0}\right)}{\left(r^{1}+10\right)^{2}}$$

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

$$\frac{7r^{1}+10\times 7r^{0}-\left(7r^{1}+50r^{0}\right)}{\left(r^{1}+10\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{7r^{1}+70r^{0}-\left(7r^{1}+50r^{0}\right)}{\left(r^{1}+10\right)^{2}}$$

Tangohia ngā taiapa kāore i te hiahiatia.

$$\frac{7r^{1}+70r^{0}-7r^{1}-50r^{0}}{\left(r^{1}+10\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(7-7\right)r^{1}+\left(70-50\right)r^{0}}{\left(r^{1}+10\right)^{2}}$$

Tangohia te 7 i 7 me te 50 i te 70.

$$\frac{20r^{0}}{\left(r^{1}+10\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{20r^{0}}{\left(r+10\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{20\times 1}{\left(r+10\right)^{2}}$$

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

$$\frac{20}{\left(r+10\right)^{2}}$$