Whakaoti i te y=exp(x)

$$y = \exp ( x )$$

Whakaoti mō p (complex solution)

$$\left\{\begin{matrix}p=\frac{y}{ex^{2}}\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$y=ex^{2}p$$

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

$$ex^{2}p=y$$

Whakawehea ngā taha e rua ki te ex^{2}.

$$\frac{ex^{2}p}{ex^{2}}=\frac{y}{ex^{2}}$$

Mā te whakawehe ki te ex^{2} ka wetekia te whakareanga ki te ex^{2}.

$$p=\frac{y}{ex^{2}}$$

Whakaoti mō p

$$\left\{\begin{matrix}p=\frac{y}{ex^{2}}\text{, }&x\neq 0\\p\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$y=ex^{2}p$$

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

$$ex^{2}p=y$$

Whakawehea ngā taha e rua ki te ex^{2}.

$$\frac{ex^{2}p}{ex^{2}}=\frac{y}{ex^{2}}$$

Mā te whakawehe ki te ex^{2} ka wetekia te whakareanga ki te ex^{2}.

$$p=\frac{y}{ex^{2}}$$

Whakaoti mō x (complex solution)

$$\left\{\begin{matrix}x=-\left(ep\right)^{-\frac{1}{2}}\sqrt{y}\text{; }x=\left(ep\right)^{-\frac{1}{2}}\sqrt{y}\text{, }&p\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }p=0\end{matrix}\right.$$

Whakaoti mō x

$$\left\{\begin{matrix}x=\sqrt{\frac{y}{ep}}\text{; }x=-\sqrt{\frac{y}{ep}}\text{, }&\left(y\geq 0\text{ and }p>0\right)\text{ or }\left(y\leq 0\text{ and }p<0\right)\\x\in \mathrm{R}\text{, }&y=0\text{ and }p=0\end{matrix}\right.$$