a^{2}+b^{2}-2b^2-3a^2-a^2+b^2 eching

$$a ^ { 2 } + b ^ { 2 } - 2 b ^ { 2 } - 3 a ^ { 2 } - a ^ { 2 } + b ^ { 2 }$$

Baholash

$$-3a^{2}$$

Yechim qadamlari

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

$$a^{2}-b^{2}-3a^{2}-a^{2}+b^{2}$$

-2a^{2} ni olish uchun a^{2} va -3a^{2} ni birlashtirish.

$$-2a^{2}-b^{2}-a^{2}+b^{2}$$

-3a^{2} ni olish uchun -2a^{2} va -a^{2} ni birlashtirish.

$$-3a^{2}-b^{2}+b^{2}$$

0 ni olish uchun -b^{2} va b^{2} ni birlashtirish.

$$-3a^{2}$$

a ga nisbatan hosilani topish

$$-6a$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{2}-b^{2}-3a^{2}-a^{2}+b^{2})$$

-2a^{2} ni olish uchun a^{2} va -3a^{2} ni birlashtirish.

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

-3a^{2} ni olish uchun -2a^{2} va -a^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a^{2}-b^{2}+b^{2})$$

0 ni olish uchun -b^{2} va b^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(-3a^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\left(-3\right)a^{2-1}$$

2 ni -3 marotabaga ko'paytirish.

$$-6a^{2-1}$$

2 dan 1 ni ayirish.

$$-6a^{1}$$

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

$$-6a$$