{left(x^2right)}^frac{4{2}} eching

$${ \left( { x }^{ 2 } \right) }^{ \frac{ 4 }{ 2 } }$$

Baholash

$$x^{4}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

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

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

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

2 ni 2 marotabaga ko'paytirish.

$$x^{4}$$

x ga nisbatan hosilani topish

$$4x^{3}$$

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.

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

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

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

Qisqartirish.

$$4x^{1}\left(x^{2}\right)^{1}$$

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

$$4xx^{2}$$