-2(sqrt{x+4})^2-5 eching

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

Baholash

$$-2x-13$$

Yechim qadamlari

2 daraja ko‘rsatkichini \sqrt{x+4} ga hisoblang va x+4 ni qiymatni oling.

$$-2\left(x+4\right)-5$$

-2 ga x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$-2x-8-5$$

-13 olish uchun -8 dan 5 ni ayirish.

$$-2x-13$$

x ga nisbatan hosilani topish

$$-2$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

2 daraja ko‘rsatkichini \sqrt{x+4} ga hisoblang va x+4 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2\left(x+4\right)-5)$$

-2 ga x+4 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-8-5)$$

-13 olish uchun -8 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-13)$$

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

$$-2x^{1-1}$$

1 dan 1 ni ayirish.

$$-2x^{0}$$

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

$$-2$$