(x^2+4x+2-x+2) eching

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

Baholash

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

Yechim qadamlari

3x ni olish uchun 4x va -x ni birlashtirish.

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

4 olish uchun 2 va 2'ni qo'shing.

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

x ga nisbatan hosilani topish

$$2x+3$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3x ni olish uchun 4x va -x ni birlashtirish.

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

4 olish uchun 2 va 2'ni qo'shing.

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

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

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

2 dan 1 ni ayirish.

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

1 dan 1 ni ayirish.

$$2x^{1}+3x^{0}$$

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

$$2x+3x^{0}$$

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

$$2x+3\times 1$$

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

$$2x+3$$