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\left(n^{5}\right)^{-9}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
n^{5\left(-9\right)}
Hei hiki pū ki tētahi pū anō, me whakarea ngā taupū.
\frac{1}{n^{45}}
Whakareatia 5 ki te -9.
-9\left(n^{5}\right)^{-9-1}\frac{\mathrm{d}}{\mathrm{d}n}(n^{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).
-9\left(n^{5}\right)^{-10}\times 5n^{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}.
-45n^{4}\left(n^{5}\right)^{-10}
Whakarūnātia.