(x^3)^6 eching

$$( x ^ { 3 } ) ^ { 6 }$$

Baholash

$$x^{18}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(x^{3}\right)^{6}$$

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

$$x^{3\times 6}$$

3 ni 6 marotabaga ko'paytirish.

$$x^{18}$$

x ga nisbatan hosilani topish

$$18x^{17}$$

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.

$$6\left(x^{3}\right)^{6-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{3})$$

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

$$6\left(x^{3}\right)^{5}\times 3x^{3-1}$$

Qisqartirish.

$$18x^{2}\left(x^{3}\right)^{5}$$