Whakaoti i te F(x)=3xdx

$$F ( x ) = 3 x d x$$

Whakaoti mō F (complex solution)

$$\left\{\begin{matrix}\\F=3dx\text{, }&\text{unconditionally}\\F\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Fx=3x^{2}d$$

He hanga arowhānui tō te whārite.

$$xF=3dx^{2}$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xF}{x}=\frac{3dx^{2}}{x}$$

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

$$F=\frac{3dx^{2}}{x}$$

Whakawehe 3x^{2}d ki te x.

$$F=3dx$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}d=\frac{F}{3x}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Fx=3x^{2}d$$

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

$$3x^{2}d=Fx$$

Whakawehea ngā taha e rua ki te 3x^{2}.

$$\frac{3x^{2}d}{3x^{2}}=\frac{Fx}{3x^{2}}$$

Mā te whakawehe ki te 3x^{2} ka wetekia te whakareanga ki te 3x^{2}.

$$d=\frac{Fx}{3x^{2}}$$

Whakawehe Fx ki te 3x^{2}.

$$d=\frac{F}{3x}$$

Whakaoti mō F

$$\left\{\begin{matrix}\\F=3dx\text{, }&\text{unconditionally}\\F\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Fx=3x^{2}d$$

He hanga arowhānui tō te whārite.

$$xF=3dx^{2}$$

Whakawehea ngā taha e rua ki te x.

$$\frac{xF}{x}=\frac{3dx^{2}}{x}$$

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

$$F=\frac{3dx^{2}}{x}$$

Whakawehe 3x^{2}d ki te x.

$$F=3dx$$

Whakaoti mō d

$$\left\{\begin{matrix}d=\frac{F}{3x}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$Fx=3x^{2}d$$

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

$$3x^{2}d=Fx$$

Whakawehea ngā taha e rua ki te 3x^{2}.

$$\frac{3x^{2}d}{3x^{2}}=\frac{Fx}{3x^{2}}$$

Mā te whakawehe ki te 3x^{2} ka wetekia te whakareanga ki te 3x^{2}.

$$d=\frac{Fx}{3x^{2}}$$

Whakawehe Fx ki te 3x^{2}.

$$d=\frac{F}{3x}$$