Whakaoti i te 4/5x^3(-7/2x^2)

$$\frac { 4 } { 5 } x ^ { 3 } ( - \frac { 7 } { 2 } x ^ { 2 } )$$

Aromātai

$$-\frac{14x^{5}}{5}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 2 kia riro ai te 5.

$$\frac{4}{5}x^{5}\left(-\frac{7}{2}\right)$$

Whakareatia te \frac{4}{5} ki te -\frac{7}{2}, ka -\frac{14}{5}.

$$-\frac{14}{5}x^{5}$$

Kimi Pārōnaki e ai ki x

$$-14x^{4}$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 2 kia riro ai te 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{5}x^{5}\left(-\frac{7}{2}\right))$$

Whakareatia te \frac{4}{5} ki te -\frac{7}{2}, ka -\frac{14}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{14}{5}x^{5})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$5\left(-\frac{14}{5}\right)x^{5-1}$$

Whakareatia 5 ki te -\frac{14}{5}.

$$-14x^{5-1}$$

Tango 1 mai i 5.

$$-14x^{4}$$