8b^3+18b^2+4b^2-5 eching

$$8 b ^ { 3 } + 18 b ^ { 2 } + 4 b ^ { 2 } - 5$$

b ga nisbatan hosilani topish

$$4b\left(6b+11\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

22b^{2} ni olish uchun 18b^{2} va 4b^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(8b^{3}+22b^{2}-5)$$

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

$$3\times 8b^{3-1}+2\times 22b^{2-1}$$

3 ni 8 marotabaga ko'paytirish.

$$24b^{3-1}+2\times 22b^{2-1}$$

3 dan 1 ni ayirish.

$$24b^{2}+2\times 22b^{2-1}$$

2 ni 22 marotabaga ko'paytirish.

$$24b^{2}+44b^{2-1}$$

2 dan 1 ni ayirish.

$$24b^{2}+44b^{1}$$

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

$$24b^{2}+44b$$

Baholash

$$8b^{3}+22b^{2}-5$$

Yechim qadamlari

22b^{2} ni olish uchun 18b^{2} va 4b^{2} ni birlashtirish.

$$8b^{3}+22b^{2}-5$$