Whakaoti i te 12/x^2+2x-2/x+6/x+2

$$\frac{ 12 }{ { x }^{ 2 } +2x } - \frac{ 2 }{ x } + \frac{ 6 }{ x+2 }$$

Aromātai

$$\frac{4}{x}$$

Ngā Hipanga Rongoā Poto

Tauwehea te x^{2}+2x.

$$\frac{12}{x\left(x+2\right)}-\frac{2}{x}+\frac{6}{x+2}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me x ko x\left(x+2\right). Whakareatia \frac{2}{x} ki te \frac{x+2}{x+2}.

$$\frac{12}{x\left(x+2\right)}-\frac{2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2}$$

Tā te mea he rite te tauraro o \frac{12}{x\left(x+2\right)} me \frac{2\left(x+2\right)}{x\left(x+2\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{12-2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2}$$

Mahia ngā whakarea i roto o 12-2\left(x+2\right).

$$\frac{12-2x-4}{x\left(x+2\right)}+\frac{6}{x+2}$$

Whakakotahitia ngā kupu rite i 12-2x-4.

$$\frac{8-2x}{x\left(x+2\right)}+\frac{6}{x+2}$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me x+2 ko x\left(x+2\right). Whakareatia \frac{6}{x+2} ki te \frac{x}{x}.

$$\frac{8-2x}{x\left(x+2\right)}+\frac{6x}{x\left(x+2\right)}$$

Tā te mea he rite te tauraro o \frac{8-2x}{x\left(x+2\right)} me \frac{6x}{x\left(x+2\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{8-2x+6x}{x\left(x+2\right)}$$

Whakakotahitia ngā kupu rite i 8-2x+6x.

$$\frac{8+4x}{x\left(x+2\right)}$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{8+4x}{x\left(x+2\right)}.

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

Me whakakore tahi te x+2 i te taurunga me te tauraro.

$$\frac{4}{x}$$

Kimi Pārōnaki e ai ki x

$$-\frac{4}{x^{2}}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Tauwehea te x^{2}+2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x\left(x+2\right)}-\frac{2}{x}+\frac{6}{x+2})$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me x ko x\left(x+2\right). Whakareatia \frac{2}{x} ki te \frac{x+2}{x+2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12}{x\left(x+2\right)}-\frac{2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2})$$

Tā te mea he rite te tauraro o \frac{12}{x\left(x+2\right)} me \frac{2\left(x+2\right)}{x\left(x+2\right)}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12-2\left(x+2\right)}{x\left(x+2\right)}+\frac{6}{x+2})$$

Mahia ngā whakarea i roto o 12-2\left(x+2\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{12-2x-4}{x\left(x+2\right)}+\frac{6}{x+2})$$

Whakakotahitia ngā kupu rite i 12-2x-4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x}{x\left(x+2\right)}+\frac{6}{x+2})$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Ko te taurea pātahi iti rawa o x\left(x+2\right) me x+2 ko x\left(x+2\right). Whakareatia \frac{6}{x+2} ki te \frac{x}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x}{x\left(x+2\right)}+\frac{6x}{x\left(x+2\right)})$$

Tā te mea he rite te tauraro o \frac{8-2x}{x\left(x+2\right)} me \frac{6x}{x\left(x+2\right)}, me tāpiri rāua mā te tāpiri i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8-2x+6x}{x\left(x+2\right)})$$

Whakakotahitia ngā kupu rite i 8-2x+6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8+4x}{x\left(x+2\right)})$$

Me whakatauwehe ngā kīanga kāore anō i whakatauwehea i roto o \frac{8+4x}{x\left(x+2\right)}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4\left(x+2\right)}{x\left(x+2\right)})$$

Me whakakore tahi te x+2 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{x})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$-4x^{-1-1}$$

Tango 1 mai i -1.

$$-4x^{-2}$$