4x+13-9x+1x^2+7x+1x^2 eching

$$4 x + 13 - 9 x + 1 x ^ { 2 } + 7 x + 1 x ^ { 2 }$$

Baholash

$$2x^{2}+2x+13$$

Yechim qadamlari

-5x ni olish uchun 4x va -9x ni birlashtirish.

$$-5x+13+1x^{2}+7x+1x^{2}$$

2x ni olish uchun -5x va 7x ni birlashtirish.

$$2x+13+1x^{2}+1x^{2}$$

2x^{2} ni olish uchun 1x^{2} va 1x^{2} ni birlashtirish.

$$2x+13+2x^{2}$$

x ga nisbatan hosilani topish

$$4x+2$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

-5x ni olish uchun 4x va -9x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-5x+13+1x^{2}+7x+1x^{2})$$

2x ni olish uchun -5x va 7x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+13+1x^{2}+1x^{2})$$

2x^{2} ni olish uchun 1x^{2} va 1x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+13+2x^{2})$$

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

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

1 dan 1 ni ayirish.

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

2 ni 2 marotabaga ko'paytirish.

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

2 dan 1 ni ayirish.

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

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

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

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

$$2\times 1+4x$$

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

$$2+4x$$