x^2-2xx+2+2^2 eching

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

Baholash

$$6-x^{2}$$

Yechim qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

-x^{2} ni olish uchun x^{2} va -2x^{2} ni birlashtirish.

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

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

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

6 olish uchun 2 va 4'ni qo'shing.

$$-x^{2}+6$$

x ga nisbatan hosilani topish

$$-2x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

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

-x^{2} ni olish uchun x^{2} va -2x^{2} ni birlashtirish.

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

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

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

6 olish uchun 2 va 4'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{2}+6)$$

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

$$2\left(-1\right)x^{2-1}$$

2 ni -1 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

$$-2x^{1}$$

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

$$-2x$$