10r*15*54= eching

$$10 r \cdot 15 \cdot 5 4 =$$

Baholash

$$3000r$$

Yechim qadamlari

150 hosil qilish uchun 10 va 15 ni ko'paytirish.

$$150r\times 5\times 4$$

750 hosil qilish uchun 150 va 5 ni ko'paytirish.

$$750r\times 4$$

3000 hosil qilish uchun 750 va 4 ni ko'paytirish.

$$3000r$$

r ga nisbatan hosilani topish

$$3000$$

Derivativ ifodasidan foydalanish qadamlari

150 hosil qilish uchun 10 va 15 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(150r\times 5\times 4)$$

750 hosil qilish uchun 150 va 5 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(750r\times 4)$$

3000 hosil qilish uchun 750 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(3000r)$$

ax^{n} hosilasi – nax^{n-1}.

$$3000r^{1-1}$$

1 dan 1 ni ayirish.

$$3000r^{0}$$

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

$$3000\times 1$$

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

$$3000$$