(k^5)^3 eching

$$( k ^ { 5 } ) ^ { 3 }$$

Baholash

$$k^{15}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(k^{5}\right)^{3}$$

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

$$k^{5\times 3}$$

5 ni 3 marotabaga ko'paytirish.

$$k^{15}$$

k ga nisbatan hosilani topish

$$15k^{14}$$

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.

$$3\left(k^{5}\right)^{3-1}\frac{\mathrm{d}}{\mathrm{d}k}(k^{5})$$

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

$$3\left(k^{5}\right)^{2}\times 5k^{5-1}$$

Qisqartirish.

$$15k^{4}\left(k^{5}\right)^{2}$$