f(x)-2x^2+5x^-4 eching

$$f ( x ) - 2 x ^ { 2 } + 5 x ^ { - 4 }$$

x ga nisbatan hosilani topish

$$f-4x-\frac{20}{x^{5}}$$

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}.

$$fx^{1-1}+2\left(-2\right)x^{2-1}-4\times 5x^{-4-1}$$

1 dan 1 ni ayirish.

$$fx^{0}+2\left(-2\right)x^{2-1}-4\times 5x^{-4-1}$$

2 ni -2 marotabaga ko'paytirish.

$$fx^{0}-4x^{2-1}-4\times 5x^{-4-1}$$

2 dan 1 ni ayirish.

$$fx^{0}-4x^{1}-4\times 5x^{-4-1}$$

2 ni -2 marotabaga ko'paytirish.

$$fx^{0}-4x^{1}-20x^{-4-1}$$

-4 dan 1 ni ayirish.

$$fx^{0}-4x^{1}-20x^{-5}$$

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

$$fx^{0}-4x-20x^{-5}$$

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

$$f\times 1-4x-20x^{-5}$$

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

$$f-4x-20x^{-5}$$

Baholash

$$fx-2x^{2}+\frac{5}{x^{4}}$$