Whakaoti i te 1/4*3.14*48^2x

$$\frac { 1 } { 4 } \times 3.14 \times 48 ^ { 2 } x$$

Aromātai

$$\frac{45216x}{25}$$

Ngā Upane Otinga

Me tahuri ki tau ā-ira 3.14 ki te hautau \frac{314}{100}. Whakahekea te hautanga \frac{314}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{1}{4}\times \frac{157}{50}\times 48^{2}x$$

Me whakarea te \frac{1}{4} ki te \frac{157}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{1\times 157}{4\times 50}\times 48^{2}x$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 157}{4\times 50}.

$$\frac{157}{200}\times 48^{2}x$$

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

$$\frac{157}{200}\times 2304x$$

Tuhia te \frac{157}{200}\times 2304 hei hautanga kotahi.

$$\frac{157\times 2304}{200}x$$

Whakareatia te 157 ki te 2304, ka 361728.

$$\frac{361728}{200}x$$

Whakahekea te hautanga \frac{361728}{200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{45216}{25}x$$

Kimi Pārōnaki e ai ki x

$$1808.64$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me tahuri ki tau ā-ira 3.14 ki te hautau \frac{314}{100}. Whakahekea te hautanga \frac{314}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{4}\times \frac{157}{50}\times 48^{2}x)$$

Me whakarea te \frac{1}{4} ki te \frac{157}{50} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1\times 157}{4\times 50}\times 48^{2}x)$$

Mahia ngā whakarea i roto i te hautanga \frac{1\times 157}{4\times 50}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{200}\times 48^{2}x)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157}{200}\times 2304x)$$

Tuhia te \frac{157}{200}\times 2304 hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{157\times 2304}{200}x)$$

Whakareatia te 157 ki te 2304, ka 361728.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{361728}{200}x)$$

Whakahekea te hautanga \frac{361728}{200} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{45216}{25}x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{45216}{25}x^{1-1}$$

Tango 1 mai i 1.

$$\frac{45216}{25}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{45216}{25}\times 1$$

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

$$\frac{45216}{25}$$