left(x^-2right)^10 eching

$${ \left( { x }^{ -2 } \right) }^{ 10 }$$

Baholash

$$\frac{1}{x^{20}}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(x^{-2}\right)^{10}$$

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

$$x^{-2\times 10}$$

-2 ni 10 marotabaga ko'paytirish.

$$\frac{1}{x^{20}}$$

x ga nisbatan hosilani topish

$$-\frac{20}{x^{21}}$$

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.

$$10\left(x^{-2}\right)^{10-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{-2})$$

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

$$10\left(x^{-2}\right)^{9}\left(-2\right)x^{-2-1}$$

Qisqartirish.

$$-20x^{-3}\left(x^{-2}\right)^{9}$$