(sqrt{x-3})^2+2 eching

$$( \sqrt { x - 3 } ) ^ { 2 } + 2$$

Baholash

$$x-1$$

Yechim qadamlari

2 daraja ko‘rsatkichini \sqrt{x-3} ga hisoblang va x-3 ni qiymatni oling.

$$x-3+2$$

-1 olish uchun -3 va 2'ni qo'shing.

$$x-1$$

x ga nisbatan hosilani topish

$$1$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini \sqrt{x-3} ga hisoblang va x-3 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-3+2)$$

-1 olish uchun -3 va 2'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1)$$

Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.

$$x^{1-1}$$

1 dan 1 ni ayirish.

$$x^{0}$$

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

$$1$$