f(x)=-x^4-4x^3+6x-6 eching

$$f ( x ) = - x ^ { 4 } - 4 x ^ { 3 } + 6 x - 6$$

x ga nisbatan hosilani topish

$$6-12x^{2}-4x^{3}$$

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}.

$$4\left(-1\right)x^{4-1}+3\left(-4\right)x^{3-1}+6x^{1-1}$$

4 ni -1 marotabaga ko'paytirish.

$$-4x^{4-1}+3\left(-4\right)x^{3-1}+6x^{1-1}$$

4 dan 1 ni ayirish.

$$-4x^{3}+3\left(-4\right)x^{3-1}+6x^{1-1}$$

3 ni -4 marotabaga ko'paytirish.

$$-4x^{3}-12x^{3-1}+6x^{1-1}$$

3 dan 1 ni ayirish.

$$-4x^{3}-12x^{2}+6x^{1-1}$$

1 dan 1 ni ayirish.

$$-4x^{3}-12x^{2}+6x^{0}$$

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

$$-4x^{3}-12x^{2}+6\times 1$$

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

$$-4x^{3}-12x^{2}+6$$

Baholash

$$-x^{4}-4x^{3}+6x-6$$