a((1/2)^2)^4 eching

$$a ( ( \frac { 1 } { 2 } ) ^ { 2 } ) ^ { 4 }$$

Baholash

$$\frac{a}{256}$$

Yechim qadamlari

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

$$a\times \left(\frac{1}{2}\right)^{8}$$

8 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$a\times \frac{1}{256}$$

a ga nisbatan hosilani topish

$$\frac{1}{256} = 0,00390625$$

Derivativ ifodasidan foydalanish qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times \left(\frac{1}{2}\right)^{8})$$

8 daraja ko‘rsatkichini \frac{1}{2} ga hisoblang va \frac{1}{256} ni qiymatni oling.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a\times \frac{1}{256})$$

ax^{n} hosilasi – nax^{n-1}.

$$\frac{1}{256}a^{1-1}$$

1 dan 1 ni ayirish.

$$\frac{1}{256}a^{0}$$

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

$$\frac{1}{256}\times 1$$

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

$$\frac{1}{256}$$