5y^2-6y-11-6y^2+2y+5 eching

$$5 { y }^{ 2 } -6y-11-6 { y }^{ 2 } +2y+5$$

Baholash

$$-y^{2}-4y-6$$

Yechim qadamlari

-y^{2} ni olish uchun 5y^{2} va -6y^{2} ni birlashtirish.

$$-y^{2}-6y-11+2y+5$$

-4y ni olish uchun -6y va 2y ni birlashtirish.

$$-y^{2}-4y-11+5$$

-6 olish uchun -11 va 5'ni qo'shing.

$$-y^{2}-4y-6$$

y ga nisbatan hosilani topish

$$-2y-4$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-y^{2} ni olish uchun 5y^{2} va -6y^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{2}-6y-11+2y+5)$$

-4y ni olish uchun -6y va 2y ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{2}-4y-11+5)$$

-6 olish uchun -11 va 5'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-y^{2}-4y-6)$$

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

$$2\left(-1\right)y^{2-1}-4y^{1-1}$$

2 ni -1 marotabaga ko'paytirish.

$$-2y^{2-1}-4y^{1-1}$$

2 dan 1 ni ayirish.

$$-2y^{1}-4y^{1-1}$$

1 dan 1 ni ayirish.

$$-2y^{1}-4y^{0}$$

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

$$-2y-4y^{0}$$

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

$$-2y-4$$