Kimi Pārōnaki e ai ki x
2
Aromātai
2x
Graph
Tohaina
Kua tāruatia ki te papatopenga
2x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x})+\frac{1}{x}\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2})
Mo ētahi pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te hua o ngā pānga e rua ko te pānga tuatahi whakareatia ki te pārōnaki o te pānga tuarua tāpiri i te pānga tuarua whakareatia ki te pārōnaki o te mea tuatahi.
2x^{2}\left(-1\right)x^{-1-1}+\frac{1}{x}\times 2\times 2x^{2-1}
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}.
2x^{2}\left(-1\right)x^{-2}+\frac{1}{x}\times 4x^{1}
Whakarūnātia.
-2x^{2-2}+4x^{-1+1}
Hei whakarea pū o te pūtake ōrite, tāpiri ana taupū.
-2x^{0}+4x^{0}
Whakarūnātia.
-2+4\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
-2+4
Mō tētahi kupu t, t\times 1=t me 1t=t.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{1}x^{2-1})
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1})
Mahia ngā tātaitanga.
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}.
2x^{0}
Mahia ngā tātaitanga.
2\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
2
Mō tētahi kupu t, t\times 1=t me 1t=t.
2x
Me whakakore tahi te x i te taurunga me te tauraro.
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