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

Tohaina

\frac{2x^{2}}{x^{-6}y^{2}}
Me whakakore tahi te 3y^{2} i te taurunga me te tauraro.
\frac{2x^{8}}{y^{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}x}(\frac{6y^{2}}{3y^{4}}x^{2-\left(-6\right)})
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{2}{y^{2}}x^{8})
Mahia ngā tātaitanga.
8\times \frac{2}{y^{2}}x^{8-1}
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{16}{y^{2}}x^{7}
Mahia ngā tātaitanga.