(5x^2-4x+3)+(2x-8x^2-9) eching

$$( 5 x ^ { 2 } - 4 x + 3 ) + ( 2 x - 8 x ^ { 2 } - 9 )$$

Baholash

$$-3x^{2}-2x-6$$

Yechim qadamlari

-2x ni olish uchun -4x va 2x ni birlashtirish.

$$5x^{2}-2x+3-8x^{2}-9$$

-3x^{2} ni olish uchun 5x^{2} va -8x^{2} ni birlashtirish.

$$-3x^{2}-2x+3-9$$

-6 olish uchun 3 dan 9 ni ayirish.

$$-3x^{2}-2x-6$$

x ga nisbatan hosilani topish

$$-6x-2$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-2x ni olish uchun -4x va 2x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x^{2}-2x+3-8x^{2}-9)$$

-3x^{2} ni olish uchun 5x^{2} va -8x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{2}-2x+3-9)$$

-6 olish uchun 3 dan 9 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-3x^{2}-2x-6)$$

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.

$$-6x-2$$