(v^-5)^-5 eching

$$( v ^ { - 5 } ) ^ { - 5 }$$

Baholash

$$v^{25}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(v^{-5}\right)^{-5}$$

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

$$v^{-5\left(-5\right)}$$

-5 ni -5 marotabaga ko'paytirish.

$$v^{25}$$

v ga nisbatan hosilani topish

$$25v^{24}$$

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.

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

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

$$-5\left(v^{-5}\right)^{-6}\left(-5\right)v^{-5-1}$$

Qisqartirish.

$$25v^{-6}\left(v^{-5}\right)^{-6}$$