Whakaoti i te 5/frac{7{x}+2}

$$\frac { 5 } { \frac { 7 } { x } + 2 }$$

Aromātai

$$\frac{5x}{2x+7}$$

Ngā Upane Otinga

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 2 ki te \frac{x}{x}.

$$\frac{5}{\frac{7}{x}+\frac{2x}{x}}$$

Tā te mea he rite te tauraro o \frac{7}{x} me \frac{2x}{x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{5}{\frac{7+2x}{x}}$$

Whakawehe 5 ki te \frac{7+2x}{x} mā te whakarea 5 ki te tau huripoki o \frac{7+2x}{x}.

$$\frac{5x}{7+2x}$$

Kimi Pārōnaki e ai ki x

$$\frac{35}{\left(2x+7\right)^{2}}$$

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 2 ki te \frac{x}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{\frac{7}{x}+\frac{2x}{x}})$$

Tā te mea he rite te tauraro o \frac{7}{x} me \frac{2x}{x}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5}{\frac{7+2x}{x}})$$

Whakawehe 5 ki te \frac{7+2x}{x} mā te whakarea 5 ki te tau huripoki o \frac{7+2x}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{5x}{7+2x})$$

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.

$$\frac{\left(2x^{1}+7\right)\frac{\mathrm{d}}{\mathrm{d}x}(5x^{1})-5x^{1}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1}+7)}{\left(2x^{1}+7\right)^{2}}$$

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}.

$$\frac{\left(2x^{1}+7\right)\times 5x^{1-1}-5x^{1}\times 2x^{1-1}}{\left(2x^{1}+7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(2x^{1}+7\right)\times 5x^{0}-5x^{1}\times 2x^{0}}{\left(2x^{1}+7\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{2x^{1}\times 5x^{0}+7\times 5x^{0}-5x^{1}\times 2x^{0}}{\left(2x^{1}+7\right)^{2}}$$

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

$$\frac{2\times 5x^{1}+7\times 5x^{0}-5\times 2x^{1}}{\left(2x^{1}+7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{10x^{1}+35x^{0}-10x^{1}}{\left(2x^{1}+7\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(10-10\right)x^{1}+35x^{0}}{\left(2x^{1}+7\right)^{2}}$$

Tango 10 mai i 10.

$$\frac{35x^{0}}{\left(2x^{1}+7\right)^{2}}$$

Mō tētahi kupu t, t^{1}=t.

$$\frac{35x^{0}}{\left(2x+7\right)^{2}}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{35\times 1}{\left(2x+7\right)^{2}}$$

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

$$\frac{35}{\left(2x+7\right)^{2}}$$