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x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5}
Whakareatia te x ki te x, ka x^{2}.
x^{3}\times \frac{4}{5}\times \frac{2}{5}\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\times 2}{5\times 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{8}{25}\times \frac{3}{5}
Mahia ngā whakarea i roto i te hautanga \frac{4\times 2}{5\times 5}.
x^{3}\times \frac{8\times 3}{25\times 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{24}{125}
Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{25\times 5}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5})
Whakareatia te x ki te x, ka x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{4}{5}\times \frac{2}{5}\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\times 2}{5\times 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{8}{25}\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\times 3}{25\times 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{24}{125})
Mahia ngā whakarea i roto i te hautanga \frac{8\times 3}{25\times 5}.
3\times \frac{24}{125}x^{3-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{72}{125}x^{3-1}
Whakareatia 3 ki te \frac{24}{125}.
\frac{72}{125}x^{2}
Tango 1 mai i 3.