(x^3)^-7 eching

$$( x ^ { 3 } ) ^ { - 7 }$$

Baholash

$$\frac{1}{x^{21}}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(x^{3}\right)^{-7}$$

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

$$x^{3\left(-7\right)}$$

3 ni -7 marotabaga ko'paytirish.

$$\frac{1}{x^{21}}$$

x ga nisbatan hosilani topish

$$-\frac{21}{x^{22}}$$

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.

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

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

$$-7\left(x^{3}\right)^{-8}\times 3x^{3-1}$$

Qisqartirish.

$$-21x^{2}\left(x^{3}\right)^{-8}$$