(9b^2+b-2)+(-5b^2-2b+8) eching

$$( 9 b ^ { 2 } + b - 2 ) + ( - 5 b ^ { 2 } - 2 b + 8 )$$

Baholash

$$4b^{2}-b+6$$

Yechim qadamlari

4b^{2} ni olish uchun 9b^{2} va -5b^{2} ni birlashtirish.

$$4b^{2}+b-2-2b+8$$

-b ni olish uchun b va -2b ni birlashtirish.

$$4b^{2}-b-2+8$$

6 olish uchun -2 va 8'ni qo'shing.

$$4b^{2}-b+6$$

b ga nisbatan hosilani topish

$$8b-1$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

4b^{2} ni olish uchun 9b^{2} va -5b^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4b^{2}+b-2-2b+8)$$

-b ni olish uchun b va -2b ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4b^{2}-b-2+8)$$

6 olish uchun -2 va 8'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}b}(4b^{2}-b+6)$$

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

$$2\times 4b^{2-1}-b^{1-1}$$

2 ni 4 marotabaga ko'paytirish.

$$8b^{2-1}-b^{1-1}$$

2 dan 1 ni ayirish.

$$8b^{1}-b^{1-1}$$

1 dan 1 ni ayirish.

$$8b^{1}-b^{0}$$

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

$$8b-b^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$8b-1$$