f(x)=-4x^3+x^2-3x+1 eching

$$f ( x ) = - 4 x ^ { 3 } + x ^ { 2 } - 3 x + 1$$

x ga nisbatan hosilani topish

$$-12x^{2}+2x-3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

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

3 ni -4 marotabaga ko'paytirish.

$$-12x^{3-1}+2x^{2-1}-3x^{1-1}$$

3 dan 1 ni ayirish.

$$-12x^{2}+2x^{2-1}-3x^{1-1}$$

2 dan 1 ni ayirish.

$$-12x^{2}+2x^{1}-3x^{1-1}$$

1 dan 1 ni ayirish.

$$-12x^{2}+2x^{1}-3x^{0}$$

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

$$-12x^{2}+2x-3x^{0}$$

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

$$-12x^{2}+2x-3$$

Baholash

$$1-3x+x^{2}-4x^{3}$$