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\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}+6x^{2}+7x-2)
Tāpirihia te 2 ki te 1, ka 3.
3x^{3-1}+2\times 6x^{2-1}+7x^{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}.
3x^{2}+2\times 6x^{2-1}+7x^{1-1}
Tango 1 mai i 3.
3x^{2}+12x^{2-1}+7x^{1-1}
Whakareatia 2 ki te 6.
3x^{2}+12x^{1}+7x^{1-1}
Tango 1 mai i 2.
3x^{2}+12x^{1}+7x^{0}
Tango 1 mai i 1.
3x^{2}+12x+7x^{0}
Mō tētahi kupu t, t^{1}=t.
3x^{2}+12x+7\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
3x^{2}+12x+7
Mō tētahi kupu t, t\times 1=t me 1t=t.
x^{3}+6x^{2}+7x-2
Tāpirihia te 2 ki te 1, ka 3.