(2x^2-3x+1-x^3)+1x+27= eching

$$( 2 x ^ { 2 } - 3 x + 1 - x ^ { 3 } ) + 1 x + 27 =$$

Baholash

$$28-2x+2x^{2}-x^{3}$$

Yechim qadamlari

-2x ni olish uchun -3x va 1x ni birlashtirish.

$$2x^{2}-2x+1-x^{3}+27$$

28 olish uchun 1 va 27'ni qo'shing.

$$2x^{2}-2x+28-x^{3}$$

x ga nisbatan hosilani topish

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

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-2x ni olish uchun -3x va 1x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-2x+1-x^{3}+27)$$

28 olish uchun 1 va 27'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x^{2}-2x+28-x^{3})$$

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

$$2\times 2x^{2-1}-2x^{1-1}+3\left(-1\right)x^{3-1}$$

2 ni 2 marotabaga ko'paytirish.

$$4x^{2-1}-2x^{1-1}+3\left(-1\right)x^{3-1}$$

2 dan 1 ni ayirish.

$$4x^{1}-2x^{1-1}+3\left(-1\right)x^{3-1}$$

1 dan 1 ni ayirish.

$$4x^{1}-2x^{0}+3\left(-1\right)x^{3-1}$$

1 ni -2 marotabaga ko'paytirish.

$$4x^{1}-2x^{0}-3x^{3-1}$$

3 dan 1 ni ayirish.

$$4x^{1}-2x^{0}-3x^{2}$$

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

$$4x-2x^{0}-3x^{2}$$

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

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