(n^5)^-9 eching

$$( n ^ { 5 } ) ^ { - 9 }$$

Baholash

$$\frac{1}{n^{45}}$$

Oshib boruvchi tartibdan boshqa tartib uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(n^{5}\right)^{-9}$$

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

$$n^{5\left(-9\right)}$$

5 ni -9 marotabaga ko'paytirish.

$$\frac{1}{n^{45}}$$

n ga nisbatan hosilani topish

$$-\frac{45}{n^{46}}$$

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.

$$-9\left(n^{5}\right)^{-9-1}\frac{\mathrm{d}}{\mathrm{d}n}(n^{5})$$

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

$$-9\left(n^{5}\right)^{-10}\times 5n^{5-1}$$

Qisqartirish.

$$-45n^{4}\left(n^{5}\right)^{-10}$$