44r^2(55)^2(4) eching

$$44 r ^ { 2 } ( 55 ) ^ { 2 } ( 4 )$$

Baholash

$$532400r^{2}$$

Yechim qadamlari

2 daraja ko‘rsatkichini 55 ga hisoblang va 3025 ni qiymatni oling.

$$44r^{2}\times 3025\times 4$$

133100 hosil qilish uchun 44 va 3025 ni ko'paytirish.

$$133100r^{2}\times 4$$

532400 hosil qilish uchun 133100 va 4 ni ko'paytirish.

$$532400r^{2}$$

r ga nisbatan hosilani topish

$$1064800r$$

Derivativ ifodasidan foydalanish qadamlari

2 daraja ko‘rsatkichini 55 ga hisoblang va 3025 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}r}(44r^{2}\times 3025\times 4)$$

133100 hosil qilish uchun 44 va 3025 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(133100r^{2}\times 4)$$

532400 hosil qilish uchun 133100 va 4 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}r}(532400r^{2})$$

ax^{n} hosilasi – nax^{n-1}.

$$2\times 532400r^{2-1}$$

2 ni 532400 marotabaga ko'paytirish.

$$1064800r^{2-1}$$

2 dan 1 ni ayirish.

$$1064800r^{1}$$

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

$$1064800r$$