x^2-12x+36quad6quad4x^2+12x+9 eching

$$x ^ { 2 } - 12 x + 36 \quad 6 \quad 4 x ^ { 2 } + 12 x + 9$$

Baholash

$$865x^{2}+9$$

Yechim qadamlari

216 hosil qilish uchun 36 va 6 ni ko'paytirish.

$$x^{2}-12x+216\times 4x^{2}+12x+9$$

864 hosil qilish uchun 216 va 4 ni ko'paytirish.

$$x^{2}-12x+864x^{2}+12x+9$$

865x^{2} ni olish uchun x^{2} va 864x^{2} ni birlashtirish.

$$865x^{2}-12x+12x+9$$

0 ni olish uchun -12x va 12x ni birlashtirish.

$$865x^{2}+9$$

x ga nisbatan hosilani topish

$$1730x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

216 hosil qilish uchun 36 va 6 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-12x+216\times 4x^{2}+12x+9)$$

864 hosil qilish uchun 216 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}-12x+864x^{2}+12x+9)$$

865x^{2} ni olish uchun x^{2} va 864x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(865x^{2}-12x+12x+9)$$

0 ni olish uchun -12x va 12x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(865x^{2}+9)$$

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

$$2\times 865x^{2-1}$$

2 ni 865 marotabaga ko'paytirish.

$$1730x^{2-1}$$

2 dan 1 ni ayirish.

$$1730x^{1}$$

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

$$1730x$$