(4-8n^3+(7n^3-7) eching

$$( 4 - 8 n ^ { 3 } + ( 7 n ^ { 3 } - 7 )$$

Baholash

$$-n^{3}-3$$

Yechim qadamlari

-n^{3} ni olish uchun -8n^{3} va 7n^{3} ni birlashtirish.

$$4-n^{3}-7$$

-3 olish uchun 4 dan 7 ni ayirish.

$$-3-n^{3}$$

n ga nisbatan hosilani topish

$$-3n^{2}$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-n^{3} ni olish uchun -8n^{3} va 7n^{3} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}n}(4-n^{3}-7)$$

-3 olish uchun 4 dan 7 ni ayirish.

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

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

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

3 ni -1 marotabaga ko'paytirish.

$$-3n^{3-1}$$

3 dan 1 ni ayirish.

$$-3n^{2}$$