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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^{-3}y^{4}}{3x^{2}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{2y^{4}}{3x^{5}}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2yy^{3}}{3}x^{-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}x}(\frac{2y^{4}}{3}x^{-5})
Mahia ngā tātaitanga.
-5\times \frac{2y^{4}}{3}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}.
\left(-\frac{10y^{4}}{3}\right)x^{-6}
Mahia ngā tātaitanga.