Whakaoti i te 1/y/2x*1/2x/frac{1{y}}

$$\frac { \frac { 1 } { y } } { 2 x } \cdot \frac { \frac { 1 } { 2 x } } { \frac { 1 } { y } }$$

Aromātai

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

Ngā Upane Otinga

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

$$\frac{1}{y\times 2x}\times \frac{\frac{1}{2x}}{\frac{1}{y}}$$

Whakawehe \frac{1}{2x} ki te \frac{1}{y} mā te whakarea \frac{1}{2x} ki te tau huripoki o \frac{1}{y}.

$$\frac{1}{y\times 2x}\times \frac{y}{2x}$$

Me whakarea te \frac{1}{y\times 2x} ki te \frac{y}{2x} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{y}{y\times 2x\times 2x}$$

Me whakakore tahi te y i te taurunga me te tauraro.

$$\frac{1}{2\times 2xx}$$

Whakareatia te x ki te x, ka x^{2}.

$$\frac{1}{2\times 2x^{2}}$$

Whakareatia te 2 ki te 2, ka 4.

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

Kimi Pārōnaki e ai ki x

$$-\frac{1}{2x^{3}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

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

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

Whakawehe \frac{1}{2x} ki te \frac{1}{y} mā te whakarea \frac{1}{2x} ki te tau huripoki o \frac{1}{y}.

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

Me whakarea te \frac{1}{y\times 2x} ki te \frac{y}{2x} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

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

Me whakakore tahi te y i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{2\times 2xx})$$

Whakareatia te x ki te x, ka x^{2}.

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

Whakareatia te 2 ki te 2, ka 4.

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

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).

$$-\left(4x^{2}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(4x^{2})$$

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}.

$$-\left(4x^{2}\right)^{-2}\times 2\times 4x^{2-1}$$

Whakarūnātia.

$$-8x^{1}\times \left(4x^{2}\right)^{-2}$$

Mō tētahi kupu t, t^{1}=t.

$$-8x\times \left(4x^{2}\right)^{-2}$$