Whakaoti i te 1/4*314*48^2x

$$\frac { 1 } { 4 } \times 314 \times 48 ^ { 2 } x$$

Aromātai

$$180864x$$

Ngā Upane Otinga

Whakareatia te \frac{1}{4} ki te 314, ka \frac{314}{4}.

$$\frac{314}{4}\times 48^{2}x$$

Whakahekea te hautanga \frac{314}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{157}{2}\times 48^{2}x$$

Tātaihia te 48 mā te pū o 2, kia riro ko 2304.

$$\frac{157}{2}\times 2304x$$

Tuhia te \frac{157}{2}\times 2304 hei hautanga kotahi.

$$\frac{157\times 2304}{2}x$$

Whakareatia te 157 ki te 2304, ka 361728.

$$\frac{361728}{2}x$$

Whakawehea te 361728 ki te 2, kia riro ko 180864.

$$180864x$$

Kimi Pārōnaki e ai ki x

$$180864$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Whakareatia te \frac{1}{4} ki te 314, ka \frac{314}{4}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{314}{4}\times 48^{2}x)$$

Whakahekea te hautanga \frac{314}{4} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{2}\times 48^{2}x)$$

Tātaihia te 48 mā te pū o 2, kia riro ko 2304.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{2}\times 2304x)$$

Tuhia te \frac{157}{2}\times 2304 hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157\times 2304}{2}x)$$

Whakareatia te 157 ki te 2304, ka 361728.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{361728}{2}x)$$

Whakawehea te 361728 ki te 2, kia riro ko 180864.

$$\frac{\mathrm{d}}{\mathrm{d}x}(180864x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$180864x^{1-1}$$

Tango 1 mai i 1.

$$180864x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$180864\times 1$$

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

$$180864$$