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

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

x ga nisbatan hosilani topish

$$x\left(x+2\right)\left(4x+1\right)$$

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}.

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

4 dan 1 ni ayirish.

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

3 ni 3 marotabaga ko'paytirish.

$$4x^{3}+9x^{3-1}+2x^{2-1}$$

3 dan 1 ni ayirish.

$$4x^{3}+9x^{2}+2x^{2-1}$$

2 dan 1 ni ayirish.

$$4x^{3}+9x^{2}+2x^{1}$$

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

$$4x^{3}+9x^{2}+2x$$

Baholash

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