(a^3)^7 eching

$$( a ^ { 3 } ) ^ { 7 }$$

Baholash

$$a^{21}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(a^{3}\right)^{7}$$

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

$$a^{3\times 7}$$

3 ni 7 marotabaga ko'paytirish.

$$a^{21}$$

a ga nisbatan hosilani topish

$$21a^{20}$$

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.

$$7\left(a^{3}\right)^{7-1}\frac{\mathrm{d}}{\mathrm{d}a}(a^{3})$$

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

$$7\left(a^{3}\right)^{6}\times 3a^{3-1}$$

Qisqartirish.

$$21a^{2}\left(a^{3}\right)^{6}$$