x^2-8x^3+8x^2-2x-8 eching

$$x ^ { 2 } - 8 x ^ { 3 } + 8 x ^ { 2 } - 2 x - 8$$

x ga nisbatan hosilani topish

$$-24x^{2}+18x-2$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

9x^{2} ni olish uchun x^{2} va 8x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x^{2}-8x^{3}-2x-8)$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$2\times 9x^{2-1}+3\left(-8\right)x^{3-1}-2x^{1-1}$$

2 ni 9 marotabaga ko'paytirish.

$$18x^{2-1}+3\left(-8\right)x^{3-1}-2x^{1-1}$$

2 dan 1 ni ayirish.

$$18x^{1}+3\left(-8\right)x^{3-1}-2x^{1-1}$$

3 ni -8 marotabaga ko'paytirish.

$$18x^{1}-24x^{3-1}-2x^{1-1}$$

3 dan 1 ni ayirish.

$$18x^{1}-24x^{2}-2x^{1-1}$$

1 dan 1 ni ayirish.

$$18x^{1}-24x^{2}-2x^{0}$$

Har qanday t sharti uchun t^{1}=t.

$$18x-24x^{2}-2x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$18x-24x^{2}-2$$

Baholash

$$-8x^{3}+9x^{2}-2x-8$$

Yechim qadamlari

9x^{2} ni olish uchun x^{2} va 8x^{2} ni birlashtirish.

$$9x^{2}-8x^{3}-2x-8$$