Whakaoti i te dx/ayi=R

$$\frac { d x } { a y i } = R$$

Whakaoti mō R

$$R=-\frac{idx}{ay}$$

$$y\neq 0\text{ and }a\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te iay.

$$dx=Riay$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$Riay=dx$$

He hanga arowhānui tō te whārite.

$$iayR=dx$$

Whakawehea ngā taha e rua ki te iay.

$$\frac{iayR}{iay}=\frac{dx}{iay}$$

Mā te whakawehe ki te iay ka wetekia te whakareanga ki te iay.

$$R=\frac{dx}{iay}$$

Whakawehe dx ki te iay.

$$R=-\frac{idx}{ay}$$

Whakaoti mō a

$$\left\{\begin{matrix}a=-\frac{idx}{Ry}\text{, }&x\neq 0\text{ and }d\neq 0\text{ and }R\neq 0\text{ and }y\neq 0\\a\neq 0\text{, }&\left(x=0\text{ or }d=0\right)\text{ and }R=0\text{ and }y\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te iay.

$$dx=Riay$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$Riay=dx$$

He hanga arowhānui tō te whārite.

$$iRya=dx$$

Whakawehea ngā taha e rua ki te iRy.

$$\frac{iRya}{iRy}=\frac{dx}{iRy}$$

Mā te whakawehe ki te iRy ka wetekia te whakareanga ki te iRy.

$$a=\frac{dx}{iRy}$$

Whakawehe dx ki te iRy.

$$a=-\frac{idx}{Ry}$$

Tē taea kia ōrite te tāupe a ki 0.

$$a=-\frac{idx}{Ry}\text{, }a\neq 0$$