Whakaoti i te frac{24x^{-3}y^{4}z^2}{36x^-2y^-7z^5}

$$\frac { 24 x ^ { - 3 } y ^ { 4 } z ^ { 2 } } { 36 x ^ { - 2 } y ^ { - 7 } z ^ { 5 } }$$

Aromātai

$$\frac{2y^{11}}{3xz^{3}}$$

Ngā Upane Otinga

Me whakakore tahi te 12z^{2} i te taurunga me te tauraro.

$$\frac{2x^{-3}y^{4}}{3y^{-7}x^{-2}z^{3}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{2x^{-3}y^{11}}{3x^{-2}z^{3}}$$

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te taurunga i te taupū o te tauraro.

$$\frac{2y^{11}}{3x^{1}z^{3}}$$

Tātaihia te x mā te pū o 1, kia riro ko x.

$$\frac{2y^{11}}{3xz^{3}}$$

Kimi Pārōnaki e ai ki x

$$-\frac{2y^{11}}{3x^{2}z^{3}}$$

Ngā Upane Otinga

Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{24z^{2}y^{4}y^{7}}{36z^{5}}x^{-3-\left(-2\right)})$$

Mahia ngā tātaitanga.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2y^{11}}{3z^{3}}\times \frac{1}{x})$$

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}.

$$-\frac{2y^{11}}{3z^{3}}x^{-1-1}$$

Mahia ngā tātaitanga.

$$\left(-\frac{2y^{11}}{3z^{3}}\right)x^{-2}$$