Whakaoti i te d/d2(2^3/2-2^7/7)=

$$\frac { d } { d 2 } ( \frac { 2 ^ { 3 } } { 2 } - \frac { 2 ^ { 7 } } { 7 } ) =$$

Aromātai

$$-\frac{100d}{7d_{2}}$$

Ngā Upane Otinga

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 1 i te 3 kia riro ai te 2.

$$\frac{d}{d_{2}}\left(2^{2}-\frac{2^{7}}{7}\right)$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{d}{d_{2}}\left(4-\frac{2^{7}}{7}\right)$$

Tātaihia te 2 mā te pū o 7, kia riro ko 128.

$$\frac{d}{d_{2}}\left(4-\frac{128}{7}\right)$$

Me tahuri te 4 ki te hautau \frac{28}{7}.

$$\frac{d}{d_{2}}\left(\frac{28}{7}-\frac{128}{7}\right)$$

Tā te mea he rite te tauraro o \frac{28}{7} me \frac{128}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{d}{d_{2}}\times \frac{28-128}{7}$$

Tangohia te 128 i te 28, ka -100.

$$\frac{d}{d_{2}}\left(-\frac{100}{7}\right)$$

Me whakarea te \frac{d}{d_{2}} ki te -\frac{100}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-d\times 100}{d_{2}\times 7}$$

Whakareatia te -1 ki te 100, ka -100.

$$\frac{-100d}{d_{2}\times 7}$$

Whakaroha

$$-\frac{100d}{7d_{2}}$$

Ngā Upane Otinga

Hei whakawehe ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga. Me tango te 1 i te 3 kia riro ai te 2.

$$\frac{d}{d_{2}}\left(2^{2}-\frac{2^{7}}{7}\right)$$

Tātaihia te 2 mā te pū o 2, kia riro ko 4.

$$\frac{d}{d_{2}}\left(4-\frac{2^{7}}{7}\right)$$

Tātaihia te 2 mā te pū o 7, kia riro ko 128.

$$\frac{d}{d_{2}}\left(4-\frac{128}{7}\right)$$

Me tahuri te 4 ki te hautau \frac{28}{7}.

$$\frac{d}{d_{2}}\left(\frac{28}{7}-\frac{128}{7}\right)$$

Tā te mea he rite te tauraro o \frac{28}{7} me \frac{128}{7}, me tango rāua mā te tango i ō raua taurunga.

$$\frac{d}{d_{2}}\times \frac{28-128}{7}$$

Tangohia te 128 i te 28, ka -100.

$$\frac{d}{d_{2}}\left(-\frac{100}{7}\right)$$

Me whakarea te \frac{d}{d_{2}} ki te -\frac{100}{7} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$\frac{-d\times 100}{d_{2}\times 7}$$

Whakareatia te -1 ki te 100, ka -100.

$$\frac{-100d}{d_{2}\times 7}$$