(y^4)^20= eching

$$( y ^ { 4 } ) ^ { 20 } =$$

Baholash

$$y^{80}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(y^{4}\right)^{20}$$

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

$$y^{4\times 20}$$

4 ni 20 marotabaga ko'paytirish.

$$y^{80}$$

y ga nisbatan hosilani topish

$$80y^{79}$$

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.

$$20\left(y^{4}\right)^{20-1}\frac{\mathrm{d}}{\mathrm{d}y}(y^{4})$$

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

$$20\left(y^{4}\right)^{19}\times 4y^{4-1}$$

Qisqartirish.

$$80y^{3}\left(y^{4}\right)^{19}$$