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Kimi Pārōnaki e ai ki x
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Tohaina

\frac{3x^{3}y^{5}}{2x^{-6}y^{-5}}
Me whakakore tahi te 3 i te taurunga me te tauraro.
\frac{3x^{9}y^{10}}{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{9y^{5}y^{5}}{6}x^{3-\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{3y^{10}}{2}x^{9})
Mahia ngā tātaitanga.
9\times \frac{3y^{10}}{2}x^{9-1}
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{27y^{10}}{2}x^{8}
Mahia ngā tātaitanga.