Whakaoti i te 2x/ydivx/2y^2=

$$\frac { 2 x } { y } \div \frac { x } { 2 y ^ { 2 } } =$$

Aromātai

$$4y$$

Ngā Upane Otinga

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

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

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

$$2\times 2y$$

Whakareatia te 2 ki te 2, ka 4.

$$4y$$

Kimi Pārōnaki e ai ki y

$$4$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

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

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

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

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

Whakareatia te 2 ki te 2, ka 4.

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

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$4y^{1-1}$$

Tango 1 mai i 1.

$$4y^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$4\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$4$$