-x^2+8x+4.7-x-9.1+x^2= eching

$$- x ^ { 2 } + 8 x + 4.7 - x - 9.1 + x ^ { 2 } =$$

Baholash

$$7x-4,4$$

Yechim qadamlari

7x ni olish uchun 8x va -x ni birlashtirish.

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

-4,4 olish uchun 4,7 dan 9,1 ni ayirish.

$$-x^{2}+7x-4,4+x^{2}$$

0 ni olish uchun -x^{2} va x^{2} ni birlashtirish.

$$7x-4,4$$

x ga nisbatan hosilani topish

$$7$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

7x ni olish uchun 8x va -x ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{2}+7x+4,7-9,1+x^{2})$$

-4,4 olish uchun 4,7 dan 9,1 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x^{2}+7x-4,4+x^{2})$$

0 ni olish uchun -x^{2} va x^{2} ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-4,4)$$

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

$$7x^{1-1}$$

1 dan 1 ni ayirish.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$