Whakaoti i te x4/5x2/5x3/5

$$x \frac{ 4 }{ 5 } x \frac{ 2 }{ 5 } x \frac{ 3 }{ 5 }$$

Aromātai

$$\frac{24x^{3}}{125}$$

Ngā Upane Otinga

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$x^{3}\times \frac{4}{5}\times \frac{2}{5}\times \frac{3}{5}$$

Me whakarea te \frac{4}{5} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x^{3}\times \frac{4\times 2}{5\times 5}\times \frac{3}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 2}{5\times 5}.

$$x^{3}\times \frac{8}{25}\times \frac{3}{5}$$

Me whakarea te \frac{8}{25} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$x^{3}\times \frac{8\times 3}{25\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{25\times 5}.

$$x^{3}\times \frac{24}{125}$$

Kimi Pārōnaki e ai ki x

$$\frac{72x^{2}}{125}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakareatia te x ki te x, ka x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{4}{5}\times \frac{2}{5}\times \frac{3}{5})$$

Me whakarea te \frac{4}{5} ki te \frac{2}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{4\times 2}{5\times 5}\times \frac{3}{5})$$

Mahia ngā whakarea i roto i te hautanga \frac{4\times 2}{5\times 5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{8}{25}\times \frac{3}{5})$$

Me whakarea te \frac{8}{25} ki te \frac{3}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{8\times 3}{25\times 5})$$

Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{25\times 5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{24}{125})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$3\times \frac{24}{125}x^{3-1}$$

Whakareatia 3 ki te \frac{24}{125}.

$$\frac{72}{125}x^{3-1}$$

Tango 1 mai i 3.

$$\frac{72}{125}x^{2}$$