2x^2+5x-9-4x^2 eching

$$2 x ^ { 2 } + 5 x - 9 - 4 x ^ { 2 }$$

x ga nisbatan hosilani topish

$$5-4x$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

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

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

$$2\left(-2\right)x^{2-1}+5x^{1-1}$$

2 ni -2 marotabaga ko'paytirish.

$$-4x^{2-1}+5x^{1-1}$$

2 dan 1 ni ayirish.

$$-4x^{1}+5x^{1-1}$$

1 dan 1 ni ayirish.

$$-4x^{1}+5x^{0}$$

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

$$-4x+5x^{0}$$

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

$$-4x+5\times 1$$

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

$$-4x+5$$

Baholash

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

Yechim qadamlari

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

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