7-2x+x^3-x^2+x eching

$$7 - 2 x + x ^ { 3 } - x ^ { 2 } + x$$

x ga nisbatan hosilani topish

$$\left(x-1\right)\left(3x+1\right)$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(7-x+x^{3}-x^{2})$$

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

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

1 dan 1 ni ayirish.

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

3 dan 1 ni ayirish.

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

3 ni 1 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

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

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

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

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

Baholash

$$x^{3}-x^{2}-x+7$$

Yechim qadamlari

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

$$7-x+x^{3}-x^{2}$$