(-2u^2+u-3)+(2u^2+4u) eching

$$( - 2 u ^ { 2 } + u - 3 ) + ( 2 u ^ { 2 } + 4 u )$$

Baholash

$$5u-3$$

Yechim qadamlari

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

$$u-3+4u$$

5u ni olish uchun u va 4u ni birlashtirish.

$$5u-3$$

u ga nisbatan hosilani topish

$$5$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}u}(u-3+4u)$$

5u ni olish uchun u va 4u ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}u}(5u-3)$$

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

$$5u^{1-1}$$

1 dan 1 ni ayirish.

$$5u^{0}$$

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

$$5\times 1$$

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

$$5$$