x^2+2x-3x^2+x-2x^2-1 eching

$$x ^ { 2 } + 2 x - 3 x ^ { 2 } + x - 2 x ^ { 2 } - 1$$

Baholash

$$-4x^{2}+3x-1$$

Yechim qadamlari

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

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

3x ni olish uchun 2x va x ni birlashtirish.

$$-2x^{2}+3x-2x^{2}-1$$

-4x^{2} ni olish uchun -2x^{2} va -2x^{2} ni birlashtirish.

$$-4x^{2}+3x-1$$

x ga nisbatan hosilani topish

$$3-8x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{2}+2x+x-2x^{2}-1)$$

3x ni olish uchun 2x va x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{2}+3x-2x^{2}-1)$$

-4x^{2} ni olish uchun -2x^{2} va -2x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{2}+3x-1)$$

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

$$2\left(-4\right)x^{2-1}+3x^{1-1}$$

2 ni -4 marotabaga ko'paytirish.

$$-8x^{2-1}+3x^{1-1}$$

2 dan 1 ni ayirish.

$$-8x^{1}+3x^{1-1}$$

1 dan 1 ni ayirish.

$$-8x^{1}+3x^{0}$$

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

$$-8x+3x^{0}$$

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

$$-8x+3\times 1$$

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

$$-8x+3$$