2x^2-28^2:4^2 eching

$$2 x ^ { 2 } - 28 ^ { 2 } : 4 ^ { 2 }$$

Baholash

$$2x^{2}-49$$

Yechim qadamlari

2 daraja ko‘rsatkichini 28 ga hisoblang va 784 ni qiymatni oling.

$$2x^{2}-\frac{784}{4^{2}}$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$2x^{2}-\frac{784}{16}$$

49 ni olish uchun 784 ni 16 ga bo‘ling.

$$2x^{2}-49$$

x ga nisbatan hosilani topish

$$4x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 28 ga hisoblang va 784 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-\frac{784}{4^{2}})$$

2 daraja ko‘rsatkichini 4 ga hisoblang va 16 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-\frac{784}{16})$$

49 ni olish uchun 784 ni 16 ga bo‘ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-49)$$

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

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

2 ni 2 marotabaga ko'paytirish.

$$4x^{2-1}$$

2 dan 1 ni ayirish.

$$4x^{1}$$

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

$$4x$$