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Kimi Pārōnaki e ai ki x
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Ngā Raru Ōrite mai i te Rapu Tukutuku

Tohaina

\frac{3y^{-9}x^{5}}{y^{-11}}
Me whakakore tahi te 5x i te taurunga me te tauraro.
3y^{2}x^{5}
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{15}{y^{9}\times \frac{5}{y^{11}}}x^{6-1})
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}(3y^{2}x^{5})
Mahia ngā tātaitanga.
5\times 3y^{2}x^{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}.
15y^{2}x^{4}
Mahia ngā tātaitanga.