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

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

Baholash

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

Yechim qadamlari

9 olish uchun 4 va 5'ni qo'shing.

$$9+3x-4x+2x^{2}$$

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

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

x ga nisbatan hosilani topish

$$4x-1$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

9 olish uchun 4 va 5'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9+3x-4x+2x^{2})$$

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

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

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

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

1 dan 1 ni ayirish.

$$-x^{0}+2\times 2x^{2-1}$$

2 ni 2 marotabaga ko'paytirish.

$$-x^{0}+4x^{2-1}$$

2 dan 1 ni ayirish.

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

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

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

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

$$-1+4x$$