r^3-4r^2+3r-12^2 eching

$$r ^ { 3 } - 4 r ^ { 2 } + 3 r - 12 ^ { 2 }$$

r ga nisbatan hosilani topish

$$3r^{2}-8r+3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}r}(r^{3}-4r^{2}+3r-144)$$

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

$$3r^{3-1}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

3 dan 1 ni ayirish.

$$3r^{2}+2\left(-4\right)r^{2-1}+3r^{1-1}$$

2 ni -4 marotabaga ko'paytirish.

$$3r^{2}-8r^{2-1}+3r^{1-1}$$

2 dan 1 ni ayirish.

$$3r^{2}-8r^{1}+3r^{1-1}$$

1 dan 1 ni ayirish.

$$3r^{2}-8r^{1}+3r^{0}$$

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

$$3r^{2}-8r+3r^{0}$$

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

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

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$3r^{2}-8r+3$$

Baholash

$$r^{3}-4r^{2}+3r-144$$

Yechim qadamlari

2 daraja ko‘rsatkichini 12 ga hisoblang va 144 ni qiymatni oling.

$$r^{3}-4r^{2}+3r-144$$