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\frac{3^{1}x^{2}}{15^{1}x^{1}}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
\frac{3^{1}x^{2-1}}{15^{1}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{3^{1}x^{1}}{15^{1}}
Tango 1 mai i 2.
\frac{1}{5}x^{1}
Whakahekea te hautanga \frac{3}{15} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.
\frac{1}{5}x
Mō tētahi kupu t, t^{1}=t.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3}{15}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}(\frac{1}{5}x^{1})
Mahia ngā tātaitanga.
\frac{1}{5}x^{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{1}{5}x^{0}
Mahia ngā tātaitanga.
\frac{1}{5}\times 1
Mō tētahi kupu t mahue te 0, t^{0}=1.
\frac{1}{5}
Mō tētahi kupu t, t\times 1=t me 1t=t.