Whakaoti i te -667*10^-1118x*x/15*10^8

$$-667 \times { 10 }^{ -11 } \frac{ 18x \times x }{ 15 \times { 10 }^{ 8 } }$$

Aromātai

$$-\frac{2001x^{2}}{25000000000000000000}$$

Ngā Upane Otinga

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

$$-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}}$$

Tātaihia te 10 mā te pū o -11, kia riro ko \frac{1}{100000000000}.

$$-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Whakareatia te -667 ki te \frac{1}{100000000000}, ka -\frac{667}{100000000000}.

$$-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}}$$

Tātaihia te 10 mā te pū o 8, kia riro ko 100000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000}$$

Whakareatia te 5 ki te 100000000, ka 500000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000}$$

Whakawehea te 6x^{2} ki te 500000000, kia riro ko \frac{3}{250000000}x^{2}.

$$-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2}$$

Whakareatia te -\frac{667}{100000000000} ki te \frac{3}{250000000}, ka -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{25000000000000000000}x^{2}$$

Kimi Pārōnaki e ai ki x

$$-\frac{2001x}{12500000000000000000}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}})$$

Tātaihia te 10 mā te pū o -11, kia riro ko \frac{1}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Whakareatia te -667 ki te \frac{1}{100000000000}, ka -\frac{667}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Me whakakore tahi te 3 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}})$$

Tātaihia te 10 mā te pū o 8, kia riro ko 100000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000})$$

Whakareatia te 5 ki te 100000000, ka 500000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000})$$

Whakawehea te 6x^{2} ki te 500000000, kia riro ko \frac{3}{250000000}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2})$$

Whakareatia te -\frac{667}{100000000000} ki te \frac{3}{250000000}, ka -\frac{2001}{25000000000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2001}{25000000000000000000}x^{2})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$2\left(-\frac{2001}{25000000000000000000}\right)x^{2-1}$$

Whakareatia 2 ki te -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{12500000000000000000}x^{2-1}$$

Tango 1 mai i 2.

$$-\frac{2001}{12500000000000000000}x^{1}$$

Mō tētahi kupu t, t^{1}=t.

$$-\frac{2001}{12500000000000000000}x$$