1-2+x-5+x+9 eching

$$1-2+x-5+x+9$$

Baholash

$$2x+3$$

Yechim qadamlari

-1 olish uchun 1 dan 2 ni ayirish.

$$-1+x-5+x+9$$

-6 olish uchun -1 dan 5 ni ayirish.

$$-6+x+x+9$$

2x ni olish uchun x va x ni birlashtirish.

$$-6+2x+9$$

3 olish uchun -6 va 9'ni qo'shing.

$$3+2x$$

x ga nisbatan hosilani topish

$$2$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-1 olish uchun 1 dan 2 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1+x-5+x+9)$$

-6 olish uchun -1 dan 5 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6+x+x+9)$$

2x ni olish uchun x va x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6+2x+9)$$

3 olish uchun -6 va 9'ni qo'shing.

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

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.

$$2\times 1$$

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

$$2$$