E(3^2)^4 eching

$$E ( 3 ^ { 2 } ) ^ { 4 }$$

Baholash

$$6561E$$

Yechim qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$E\times 3^{8}$$

8 daraja ko‘rsatkichini 3 ga hisoblang va 6561 ni qiymatni oling.

$$E\times 6561$$

E ga nisbatan hosilani topish

$$6561$$

Derivativ ifodasidan foydalanish qadamlari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 2 va 4 ni ko‘paytirib, 8 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}E}(E\times 3^{8})$$

8 daraja ko‘rsatkichini 3 ga hisoblang va 6561 ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}E}(E\times 6561)$$

ax^{n} hosilasi – nax^{n-1}.

$$6561E^{1-1}$$

1 dan 1 ni ayirish.

$$6561E^{0}$$

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

$$6561\times 1$$

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

$$6561$$