d(Ax+b/x)/dx eching

$$\frac { d ( A x + \frac { b } { x } ) } { d x }$$

Baholash

$$A-\frac{b}{x^{2}}$$

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}.

$$Ax^{1-1}-bx^{-1-1}$$

1 dan 1 ni ayirish.

$$Ax^{0}-bx^{-1-1}$$

-1 ni b marotabaga ko'paytirish.

$$Ax^{0}+\left(-b\right)x^{-1-1}$$

-1 dan 1 ni ayirish.

$$Ax^{0}+\left(-b\right)x^{-2}$$

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

$$A\times 1+\left(-b\right)x^{-2}$$

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

$$A+\left(-b\right)x^{-2}$$

x ga nisbatan hosilani topish

$$\frac{2b}{x^{3}}$$