7+5w-4+3w+2 eching

$$7 + 5 w - 4 + 3 w + 2$$

Baholash

$$8w+5$$

Yechim qadamlari

3 olish uchun 7 dan 4 ni ayirish.

$$3+5w+3w+2$$

8w ni olish uchun 5w va 3w ni birlashtirish.

$$3+8w+2$$

5 olish uchun 3 va 2'ni qo'shing.

$$5+8w$$

w ga nisbatan hosilani topish

$$8$$

Yig'indi uchun derivativ qoidasidan foydalanish qadamlari

3 olish uchun 7 dan 4 ni ayirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3+5w+3w+2)$$

8w ni olish uchun 5w va 3w ni birlashtirish.

$$\frac{\mathrm{d}}{\mathrm{d}w}(3+8w+2)$$

5 olish uchun 3 va 2'ni qo'shing.

$$\frac{\mathrm{d}}{\mathrm{d}w}(5+8w)$$

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

$$8w^{1-1}$$

1 dan 1 ni ayirish.

$$8w^{0}$$

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

$$8\times 1$$

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

$$8$$