Whakaoti i te f^prime(0)=3x^2

$$f ^ { \prime } ( 0 ) = 3 x ^ { 2 }$$

Whakaoti mō x

$$x=0$$

Ngā Upane mā te Kimi Pūtakerua

Tangohia te 3x^{2} mai i ngā taha e rua.

$$\frac{\mathrm{d}}{\mathrm{d}x}(f)\times 0-3x^{2}=0$$

Whakaraupapatia anō ngā kīanga tau.

$$-3x^{2}=0$$

Whakawehea ngā taha e rua ki te -3. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$x=0 x=0$$

Kua oti te whārite te whakatau. He ōrite ngā whakatau.

$$x=0$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tangohia te 3x^{2} mai i ngā taha e rua.

$$\frac{\mathrm{d}}{\mathrm{d}x}(f)\times 0-3x^{2}=0$$

Whakaraupapatia anō ngā kīanga tau.

$$-3x^{2}=0$$

Whakawehea ngā taha e rua ki te -3. Ko te kore i whakawehea ki te tau ehara te kore ka hua ko te kore.

$$x^{2}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me 0 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

Tuhia te pūtakerua o te 0^{2}.

$$x=\frac{0±0}{2}$$

Whakawehe 0 ki te 2.

$$x=0$$

Whakaoti mō f

$$f\in \mathrm{R}$$

$$x=0$$