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\frac{\mathrm{d}}{\mathrm{d}x}(4x^{3}+8x+7)
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.
3\times 4x^{3-1}+8x^{1-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
12x^{3-1}+8x^{1-1}
Whakareatia 3 ki te 4.
12x^{2}+8x^{1-1}
Tango 1 mai i 3.
12x^{2}+8x^{0}
Tango 1 mai i 1.
12x^{2}+8\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
12x^{2}+8
Mō tētahi kupu t, t\times 1=t me 1t=t.
4x^{3}+8x+7
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te 2 kia riro ai te 3.