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2x^{5}\times \frac{1}{3}+\frac{21x^{7}}{3x^{2}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.
\frac{2}{3}x^{5}+\frac{21x^{7}}{3x^{2}}
Whakareatia te 2 ki te \frac{1}{3}, ka \frac{2}{3}.
\frac{2}{3}x^{5}+7x^{5}
Me whakakore tahi te 3x^{2} i te taurunga me te tauraro.
\frac{23}{3}x^{5}
Pahekotia te \frac{2}{3}x^{5} me 7x^{5}, ka \frac{23}{3}x^{5}.
\frac{\mathrm{d}}{\mathrm{d}x}(2x^{5}\times \frac{1}{3}+\frac{21x^{7}}{3x^{2}})
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 3 kia riro ai te 5.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3}x^{5}+\frac{21x^{7}}{3x^{2}})
Whakareatia te 2 ki te \frac{1}{3}, ka \frac{2}{3}.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{3}x^{5}+7x^{5})
Me whakakore tahi te 3x^{2} i te taurunga me te tauraro.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{23}{3}x^{5})
Pahekotia te \frac{2}{3}x^{5} me 7x^{5}, ka \frac{23}{3}x^{5}.
5\times \frac{23}{3}x^{5-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{115}{3}x^{5-1}
Whakareatia 5 ki te \frac{23}{3}.
\frac{115}{3}x^{4}
Tango 1 mai i 5.