Whakaoti i te x^3*x^5-2x^9:x

$$x ^ { 3 } \cdot x ^ { 5 } - 2 x ^ { 9 } : x$$

Aromātai

$$-x^{8}$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 3 me te 5 kia riro ai te 8.

$$x^{8}-\frac{2x^{9}}{x}$$

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

$$x^{8}-2x^{8}$$

Pahekotia te x^{8} me -2x^{8}, ka -x^{8}.

$$-x^{8}$$

Kimi Pārōnaki e ai ki x

$$-8x^{7}$$

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 5 kia riro ai te 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{8}-\frac{2x^{9}}{x})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{8}-2x^{8})$$

Pahekotia te x^{8} me -2x^{8}, ka -x^{8}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{8})$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$8\left(-1\right)x^{8-1}$$

Whakareatia 8 ki te -1.

$$-8x^{8-1}$$

Tango 1 mai i 8.

$$-8x^{7}$$