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\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}-8x^{3}-2x-8)
Pahekotia te x^{2} me 8x^{2}, ka 9x^{2}.
2\times 9x^{2-1}+3\left(-8\right)x^{3-1}-2x^{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}.
18x^{2-1}+3\left(-8\right)x^{3-1}-2x^{1-1}
Whakareatia 2 ki te 9.
18x^{1}+3\left(-8\right)x^{3-1}-2x^{1-1}
Tango 1 mai i 2.
18x^{1}-24x^{3-1}-2x^{1-1}
Whakareatia 3 ki te -8.
18x^{1}-24x^{2}-2x^{1-1}
Tango 1 mai i 3.
18x^{1}-24x^{2}-2x^{0}
Tango 1 mai i 1.
18x-24x^{2}-2x^{0}
Mō tētahi kupu t, t^{1}=t.
18x-24x^{2}-2
Mō tētahi kupu t mahue te 0, t^{0}=1.
9x^{2}-8x^{3}-2x-8
Pahekotia te x^{2} me 8x^{2}, ka 9x^{2}.