Whakaoti i te 4(x/4-5)+20

$$4( \frac{ x }{ 4 } -5)+20$$

Aromātai

$$x$$

Ngā Hipanga Rongoā Poto

Hei tāpiri, hei tango kīanga rānei, me whakaroha ērā kia rite ā rātou tauraro. Whakareatia 5 ki te \frac{4}{4}.

$$4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20$$

Tā te mea he rite te tauraro o \frac{x}{4} me \frac{5\times 4}{4}, me tango rāua mā te tango i ō raua taurunga.

$$4\times \frac{x-5\times 4}{4}+20$$

Mahia ngā whakarea i roto o x-5\times 4.

$$4\times \frac{x-20}{4}+20$$

Me whakakore te 4 me te 4.

$$x-20+20$$

Tāpirihia te -20 ki te 20, ka 0.

$$x$$

Kimi Pārōnaki e ai ki x

$$1$$

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 5 ki te \frac{4}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\left(\frac{x}{4}-\frac{5\times 4}{4}\right)+20)$$

Tā te mea he rite te tauraro o \frac{x}{4} me \frac{5\times 4}{4}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-5\times 4}{4}+20)$$

Mahia ngā whakarea i roto o x-5\times 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4\times \frac{x-20}{4}+20)$$

Me whakakore te 4 me te 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-20+20)$$

Tāpirihia te -20 ki te 20, ka 0.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$x^{1-1}$$

Tango 1 mai i 1.

$$x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$1$$