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\frac{\mathrm{d}}{\mathrm{d}a}(\frac{15cb^{2}}{12b^{2}c^{2}}a^{3-2})
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}a}(\frac{5}{4c}a^{1})
Mahia ngā tātaitanga.
\frac{5}{4c}a^{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}.
\frac{5}{4c}a^{0}
Mahia ngā tātaitanga.
\frac{5}{4c}\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
\frac{5}{4c}
Mō tētahi kupu t, t\times 1=t me 1t=t.
\frac{5a}{4c}
Me whakakore tahi te 3ca^{2}b^{2} i te taurunga me te tauraro.