216-756a^2+882a^2-343a^2 eching

$$216 - 756 a ^ { 2 } + 882 a ^ { 2 } - 343 a ^ { 2 }$$

Baholash

$$216-217a^{2}$$

Yechim qadamlari

126a^{2} ni olish uchun -756a^{2} va 882a^{2} ni birlashtirish.

$$216+126a^{2}-343a^{2}$$

-217a^{2} ni olish uchun 126a^{2} va -343a^{2} ni birlashtirish.

$$216-217a^{2}$$

a ga nisbatan hosilani topish

$$-434a$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

126a^{2} ni olish uchun -756a^{2} va 882a^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(216+126a^{2}-343a^{2})$$

-217a^{2} ni olish uchun 126a^{2} va -343a^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}a}(216-217a^{2})$$

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

$$2\left(-217\right)a^{2-1}$$

2 ni -217 marotabaga ko'paytirish.

$$-434a^{2-1}$$

2 dan 1 ni ayirish.

$$-434a^{1}$$

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

$$-434a$$