left(x^2right)^3 eching

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

Baholash

$$x^{6}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

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

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

$$x^{2\times 3}$$

2 ni 3 marotabaga ko'paytirish.

$$x^{6}$$

x ga nisbatan hosilani topish

$$6x^{5}$$

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.

$$3\left(x^{2}\right)^{3-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})$$

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

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

Qisqartirish.

$$6x^{1}\left(x^{2}\right)^{2}$$

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

$$6x\left(x^{2}\right)^{2}$$