Whakaoti i te (2x/2/5)*(7/63)

$$( \frac { \frac { 2 x } { 2 } } { 5 } ) \times ( \frac { 7 } { 63 } )$$

Aromātai

$$\frac{x}{45}$$

Ngā Upane Otinga

Tuhia te \frac{\frac{2x}{2}}{5} hei hautanga kotahi.

$$\frac{2x}{2\times 5}\times \frac{7}{63}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{x}{5}\times \frac{7}{63}$$

Whakahekea te hautanga \frac{7}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{x}{5}\times \frac{1}{9}$$

Me whakarea te \frac{x}{5} ki te \frac{1}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{x}{5\times 9}$$

Whakareatia te 5 ki te 9, ka 45.

$$\frac{x}{45}$$

Kimi Pārōnaki e ai ki x

$$\frac{1}{45} = 0.022222222222222223$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Tuhia te \frac{\frac{2x}{2}}{5} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2x}{2\times 5}\times \frac{7}{63})$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{5}\times \frac{7}{63})$$

Whakahekea te hautanga \frac{7}{63} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{5}\times \frac{1}{9})$$

Me whakarea te \frac{x}{5} ki te \frac{1}{9} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{5\times 9})$$

Whakareatia te 5 ki te 9, ka 45.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{45})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$\frac{1}{45}x^{1-1}$$

Tango 1 mai i 1.

$$\frac{1}{45}x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$\frac{1}{45}\times 1$$

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

$$\frac{1}{45}$$