3x^2-3+8x+4-8x-5x^2 eching

$$3 { x }^{ 2 } -3+8x+4-8x-5 { x }^{ 2 }$$

Baholash

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

Yechim qadamlari

1 olish uchun -3 va 4'ni qo'shing.

$$3x^{2}+1+8x-8x-5x^{2}$$

0 ni olish uchun 8x va -8x ni birlashtirish.

$$3x^{2}+1-5x^{2}$$

-2x^{2} ni olish uchun 3x^{2} va -5x^{2} ni birlashtirish.

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

x ga nisbatan hosilani topish

$$-4x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

1 olish uchun -3 va 4'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+1+8x-8x-5x^{2})$$

0 ni olish uchun 8x va -8x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+1-5x^{2})$$

-2x^{2} ni olish uchun 3x^{2} va -5x^{2} ni birlashtirish.

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

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

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

2 ni -2 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

$$-4x^{1}$$

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

$$-4x$$