Whakaoti i te d/dxleft(2/x^2-2/xright)

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

Aromātai

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

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. Ko te taurea pātahi iti rawa o x^{2} me x ko x^{2}. Whakareatia \frac{2}{x} ki te \frac{x}{x}.

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

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

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

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.

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

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}.

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

Mahia ngā tātaitanga.

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

Whakarohaina mā te āhuatanga tohatoha.

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

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

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

Mahia ngā tātaitanga.

$$\frac{-2x^{2}-\left(-4x^{2}+4x^{1}\right)}{\left(x^{2}\right)^{2}}$$

Tangohia ngā taiapa kāore i te hiahiatia.

$$\frac{-2x^{2}-\left(-4x^{2}\right)-4x^{1}}{\left(x^{2}\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(-2-\left(-4\right)\right)x^{2}-4x^{1}}{\left(x^{2}\right)^{2}}$$

Tango -4 mai i -2.

$$\frac{2x^{2}-4x^{1}}{\left(x^{2}\right)^{2}}$$

Tauwehea te 2x.

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

Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.

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

Whakareatia 2 ki te 2.

$$\frac{2x\left(x^{1}-2x^{0}\right)}{x^{4}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\frac{2\left(x^{1}-2x^{0}\right)}{x^{4-1}}$$

Tango 1 mai i 4.

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

Mō tētahi kupu t, t^{1}=t.

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

Mō tētahi kupu t mahue te 0, t^{0}=1.

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

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

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

Kimi Pārōnaki e ai ki x

$$\frac{4\left(3-x\right)}{x^{4}}$$