d/dx(x^5-3x^2+2x^-1+6) eching

$$\frac { d } { d x } ( x ^ { 5 } - 3 x ^ { 2 } + 2 x ^ { - 1 } + 6 )$$

Baholash

$$5x^{4}-6x-\frac{2}{x^{2}}$$

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}.

$$5x^{5-1}-2x^{-1-1}+2\left(-3\right)x^{2-1}$$

5 dan 1 ni ayirish.

$$5x^{4}-2x^{-1-1}+2\left(-3\right)x^{2-1}$$

-1 dan 1 ni ayirish.

$$5x^{4}-2x^{-2}+2\left(-3\right)x^{2-1}$$

-1 ni 2 marotabaga ko'paytirish.

$$5x^{4}-2x^{-2}-6x^{2-1}$$

2 dan 1 ni ayirish.

$$5x^{4}-2x^{-2}-6x^{1}$$

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

$$5x^{4}-2x^{-2}-6x$$

x ga nisbatan hosilani topish

$$20x^{3}-6+\frac{4}{x^{3}}$$