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\left(k^{5}\right)^{3}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
k^{5\times 3}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.
k^{15}
Whakareatia 5 ki te 3.
3\left(k^{5}\right)^{3-1}\frac{\mathrm{d}}{\mathrm{d}k}(k^{5})
Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).
3\left(k^{5}\right)^{2}\times 5k^{5-1}
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}.
15k^{4}\left(k^{5}\right)^{2}
Whakarūnātia.