Whakaoti i te frac{2x^{4}*(x^2y^4)^-1}{2yx^2}

$$\frac { 2 x ^ { 4 } \cdot ( x ^ { 2 } y ^ { 4 } ) ^ { - 1 } } { 2 y x ^ { 2 } }$$

Aromātai

$$\frac{1}{y^{5}}$$

Ngā Upane Otinga

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

$$\frac{\frac{1}{x^{2}y^{4}}x^{2}}{y}$$

Tuhia te \frac{1}{x^{2}y^{4}}x^{2} hei hautanga kotahi.

$$\frac{\frac{x^{2}}{x^{2}y^{4}}}{y}$$

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

$$\frac{\frac{1}{y^{4}}}{y}$$

Tuhia te \frac{\frac{1}{y^{4}}}{y} hei hautanga kotahi.

$$\frac{1}{y^{4}y}$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.

$$\frac{1}{y^{5}}$$

Kimi Pārōnaki e ai ki y

$$-\frac{5}{y^{6}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\frac{1}{x^{2}y^{4}}x^{2}}{y})$$

Tuhia te \frac{1}{x^{2}y^{4}}x^{2} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\frac{x^{2}}{x^{2}y^{4}}}{y})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{\frac{1}{y^{4}}}{y})$$

Tuhia te \frac{\frac{1}{y^{4}}}{y} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{y^{4}y})$$

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 4 me te 1 kia riro ai te 5.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{y^{5}})$$

Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

$$-\left(y^{5}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}y}(y^{5})$$

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}.

$$-\left(y^{5}\right)^{-2}\times 5y^{5-1}$$

Whakarūnātia.

$$-5y^{4}\left(y^{5}\right)^{-2}$$