(n^2)^4 eching

$$( n ^ { 2 } ) ^ { 4 }$$

Baholash

$$n^{8}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(n^{2}\right)^{4}$$

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring.

$$n^{2\times 4}$$

2 ni 4 marotabaga ko'paytirish.

$$n^{8}$$

n ga nisbatan hosilani topish

$$8n^{7}$$

Zanjirli qoidadan foydalanish qadamalari

Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.

$$4\left(n^{2}\right)^{4-1}\frac{\mathrm{d}}{\mathrm{d}n}(n^{2})$$

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

$$4\left(n^{2}\right)^{3}\times 2n^{2-1}$$

Qisqartirish.

$$8n^{1}\left(n^{2}\right)^{3}$$

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

$$8n\left(n^{2}\right)^{3}$$