Whakaoti i te 1/x-7-4

$$\frac { 1 } { x - 7 } - 4$$

Aromātai

$$\frac{29-4x}{x-7}$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 4 ki te \frac{x-7}{x-7}.

$$\frac{1}{x-7}-\frac{4\left(x-7\right)}{x-7}$$

Tā te mea he rite te tauraro o \frac{1}{x-7} me \frac{4\left(x-7\right)}{x-7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{1-4\left(x-7\right)}{x-7}$$

Mahia ngā whakarea i roto o 1-4\left(x-7\right).

$$\frac{1-4x+28}{x-7}$$

Whakakotahitia ngā kupu rite i 1-4x+28.

$$\frac{29-4x}{x-7}$$

Kimi Pārōnaki e ai ki x

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

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 4 ki te \frac{x-7}{x-7}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x-7}-\frac{4\left(x-7\right)}{x-7})$$

Tā te mea he rite te tauraro o \frac{1}{x-7} me \frac{4\left(x-7\right)}{x-7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1-4\left(x-7\right)}{x-7})$$

Mahia ngā whakarea i roto o 1-4\left(x-7\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1-4x+28}{x-7})$$

Whakakotahitia ngā kupu rite i 1-4x+28.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{29-4x}{x-7})$$

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.

$$\frac{\left(x^{1}-7\right)\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{1}+29)-\left(-4x^{1}+29\right)\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-7)}{\left(x^{1}-7\right)^{2}}$$

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}.

$$\frac{\left(x^{1}-7\right)\left(-4\right)x^{1-1}-\left(-4x^{1}+29\right)x^{1-1}}{\left(x^{1}-7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{\left(x^{1}-7\right)\left(-4\right)x^{0}-\left(-4x^{1}+29\right)x^{0}}{\left(x^{1}-7\right)^{2}}$$

Whakarohaina mā te āhuatanga tohatoha.

$$\frac{x^{1}\left(-4\right)x^{0}-7\left(-4\right)x^{0}-\left(-4x^{1}x^{0}+29x^{0}\right)}{\left(x^{1}-7\right)^{2}}$$

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

$$\frac{-4x^{1}-7\left(-4\right)x^{0}-\left(-4x^{1}+29x^{0}\right)}{\left(x^{1}-7\right)^{2}}$$

Mahia ngā tātaitanga.

$$\frac{-4x^{1}+28x^{0}-\left(-4x^{1}+29x^{0}\right)}{\left(x^{1}-7\right)^{2}}$$

Tangohia ngā taiapa kāore i te hiahiatia.

$$\frac{-4x^{1}+28x^{0}-\left(-4x^{1}\right)-29x^{0}}{\left(x^{1}-7\right)^{2}}$$

Pahekotia ngā kīanga tau ōrite.

$$\frac{\left(-4-\left(-4\right)\right)x^{1}+\left(28-29\right)x^{0}}{\left(x^{1}-7\right)^{2}}$$

Tangohia te -4 i -4 me te 29 i te 28.

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

Mō tētahi kupu t, t^{1}=t.

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

Mō tētahi kupu t mahue te 0, t^{0}=1.

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