90^2-120b+4b^2-9 eching

$$90 ^ { 2 } - 120 b + 4 b ^ { 2 } - 9$$

Baholash

$$4b^{2}-120b+8091$$

Yechim qadamlari

2 daraja ko‘rsatkichini 90 ga hisoblang va 8100 ni qiymatni oling.

$$8100-120b+4b^{2}-9$$

8091 olish uchun 8100 dan 9 ni ayirish.

$$8091-120b+4b^{2}$$

b ga nisbatan hosilani topish

$$8\left(b-15\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 90 ga hisoblang va 8100 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8100-120b+4b^{2}-9)$$

8091 olish uchun 8100 dan 9 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8091-120b+4b^{2})$$

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

$$-120b^{1-1}+2\times 4b^{2-1}$$

1 dan 1 ni ayirish.

$$-120b^{0}+2\times 4b^{2-1}$$

2 ni 4 marotabaga ko'paytirish.

$$-120b^{0}+8b^{2-1}$$

2 dan 1 ni ayirish.

$$-120b^{0}+8b^{1}$$

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

$$-120b^{0}+8b$$

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

$$-120+8b$$