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

Tohaina

\frac{4x^{-4}}{8x^{-7}y^{-2}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te -8 kia riro ai te -4.
\frac{x^{-4}}{2x^{-7}y^{-2}}
Me whakakore tahi te 4 i te taurunga me te tauraro.
\frac{x^{3}}{2y^{-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{4}{x^{8}\times \frac{8}{y^{2}}}x^{4-\left(-7\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{y^{2}}{2x^{8}}x^{11})
Mahia ngā tātaitanga.
11\times \frac{y^{2}}{2x^{8}}x^{11-1}
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{11y^{2}}{2x^{8}}x^{10}
Mahia ngā tātaitanga.