x^2-4-x^2-2x^2-x^2+2x eching

$$x ^ { 2 } - 4 - x ^ { 2 } - 2 x ^ { 2 } - x ^ { 2 } + 2 x$$

Baholash

$$-3x^{2}+2x-4$$

Yechim qadamlari

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$-4-2x^{2}-x^{2}+2x$$

-3x^{2} ni olish uchun -2x^{2} va -x^{2} ni birlashtirish.

$$-4-3x^{2}+2x$$

x ga nisbatan hosilani topish

$$2-6x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

0 ni olish uchun x^{2} va -x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4-2x^{2}-x^{2}+2x)$$

-3x^{2} ni olish uchun -2x^{2} va -x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4-3x^{2}+2x)$$

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

$$2\left(-3\right)x^{2-1}+2x^{1-1}$$

2 ni -3 marotabaga ko'paytirish.

$$-6x^{2-1}+2x^{1-1}$$

2 dan 1 ni ayirish.

$$-6x^{1}+2x^{1-1}$$

1 dan 1 ni ayirish.

$$-6x^{1}+2x^{0}$$

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

$$-6x+2x^{0}$$

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

$$-6x+2\times 1$$

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

$$-6x+2$$