f(x)=x^5-5x^3-20x-2 eching

$$f ( x ) = x ^ { 5 } - 5 x ^ { 3 } - 20 x - 2$$

x ga nisbatan hosilani topish

$$5\left(x^{4}-3x^{2}-4\right)$$

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}.

$$5x^{5-1}+3\left(-5\right)x^{3-1}-20x^{1-1}$$

5 dan 1 ni ayirish.

$$5x^{4}+3\left(-5\right)x^{3-1}-20x^{1-1}$$

3 ni -5 marotabaga ko'paytirish.

$$5x^{4}-15x^{3-1}-20x^{1-1}$$

3 dan 1 ni ayirish.

$$5x^{4}-15x^{2}-20x^{1-1}$$

1 dan 1 ni ayirish.

$$5x^{4}-15x^{2}-20x^{0}$$

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

$$5x^{4}-15x^{2}-20$$

Baholash

$$x^{5}-5x^{3}-20x-2$$