Whakaoti i te x4/5x-2/5x3/5

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

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.

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

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

$$x^{3}\times \frac{4}{5}\left(-\frac{2}{5}\right)\times \frac{3}{5}$$

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

$$x^{3}\times \frac{4\left(-2\right)}{5\times 5}\times \frac{3}{5}$$

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-2\right)}{5\times 5}.

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

Ka taea te hautanga \frac{-8}{25} te tuhi anō ko -\frac{8}{25} mā te tango i te tohu tōraro.

$$x^{3}\left(-\frac{8}{25}\right)\times \frac{3}{5}$$

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}.

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

Ka taea te hautanga \frac{-24}{125} te tuhi anō ko -\frac{24}{125} mā te tango i te tohu tōraro.

$$x^{3}\left(-\frac{24}{125}\right)$$

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.

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

Ka taea te hautanga \frac{-2}{5} te tuhi anō ko -\frac{2}{5} mā te tango i te tohu tōraro.

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

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

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

Mahia ngā whakarea i roto i te hautanga \frac{4\left(-2\right)}{5\times 5}.

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

Ka taea te hautanga \frac{-8}{25} te tuhi anō ko -\frac{8}{25} mā te tango i te tohu tōraro.

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

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}.

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

Ka taea te hautanga \frac{-24}{125} te tuhi anō ko -\frac{24}{125} mā te tango i te tohu tōraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\left(-\frac{24}{125}\right))$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$3\left(-\frac{24}{125}\right)x^{3-1}$$

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

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

Tango 1 mai i 3.

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