Whakaoti i te -4(-{left(sqrt{(xdiv2)-3}right)}^2-3

$$-4(- { \left( \sqrt{ (x \div 2)-3 } \right) }^{ 2 } -3$$

Aromātai

$$2x$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3 ki te \frac{2}{2}.

$$-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right)$$

Tā te mea he rite te tauraro o \frac{x}{2} me \frac{3\times 2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right)$$

Mahia ngā whakarea i roto o x-3\times 2.

$$-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right)$$

Tātaihia te \sqrt{\frac{x-6}{2}} mā te pū o 2, kia riro ko \frac{x-6}{2}.

$$-4\left(-\frac{x-6}{2}-3\right)$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3 ki te \frac{2}{2}.

$$-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right)$$

Tā te mea he rite te tauraro o -\frac{x-6}{2} me \frac{3\times 2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$-4\times \frac{-\left(x-6\right)-3\times 2}{2}$$

Mahia ngā whakarea i roto o -\left(x-6\right)-3\times 2.

$$-4\times \frac{-x+6-6}{2}$$

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

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

Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 4 me te 2.

$$-2\left(-1\right)x$$

Whakareatia te -2 ki te -1, ka 2.

$$2x$$

Kimi Pārōnaki e ai ki x

$$2$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3 ki te \frac{2}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x}{2}-\frac{3\times 2}{2}}\right)^{2}-3\right))$$

Tā te mea he rite te tauraro o \frac{x}{2} me \frac{3\times 2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-3\times 2}{2}}\right)^{2}-3\right))$$

Mahia ngā whakarea i roto o x-3\times 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\left(\sqrt{\frac{x-6}{2}}\right)^{2}-3\right))$$

Tātaihia te \sqrt{\frac{x-6}{2}} mā te pū o 2, kia riro ko \frac{x-6}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-3\right))$$

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 3 ki te \frac{2}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\left(-\frac{x-6}{2}-\frac{3\times 2}{2}\right))$$

Tā te mea he rite te tauraro o -\frac{x-6}{2} me \frac{3\times 2}{2}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-\left(x-6\right)-3\times 2}{2})$$

Mahia ngā whakarea i roto o -\left(x-6\right)-3\times 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x+6-6}{2})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4\times \frac{-x}{2})$$

Whakakorea atu te tauwehe pūnoa nui rawa 2 i roto i te 4 me te 2.

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

Whakareatia te -2 ki te -1, ka 2.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$2x^{1-1}$$

Tango 1 mai i 1.

$$2x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$2\times 1$$

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

$$2$$