(x^10)^-7/x^9 eching

$$\frac { ( x ^ { 10 } ) ^ { - 7 } } { x ^ { 9 } }$$

Baholash

$$\frac{1}{x^{79}}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\left(x^{10}\right)^{-7}\times \frac{1}{x^{9}}$$

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

$$x^{10\left(-7\right)}x^{9\left(-1\right)}$$

10 ni -7 marotabaga ko'paytirish.

$$x^{-70}x^{9\left(-1\right)}$$

9 ni -1 marotabaga ko'paytirish.

$$x^{-70}x^{-9}$$

Ayni daraja ko'rsatkichlarini ko'paytirish uchun ularning darajalarini qo'shing.

$$x^{-70-9}$$

-70 va -9 belgilarini qo'shish.

$$x^{-79}$$

x ga nisbatan hosilani topish

$$-\frac{79}{x^{80}}$$

Zanjirli qoidadan foydalanish qadamalari

Daraja ko‘rsatkichini boshqa ko‘rsatkichga oshirish uchun, darajalarini ko‘paytiring. 10 va -7 ni ko‘paytirib, -70 ni oling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{-70}}{x^{9}})$$

x^{9} ni x^{-70}x^{79} sifatida qaytadan yozish. Surat va maxrajdagi ikkala x^{-70} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x^{79}})$$

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.

$$-\left(x^{79}\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{79})$$

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

$$-\left(x^{79}\right)^{-2}\times 79x^{79-1}$$

Qisqartirish.

$$-79x^{78}\left(x^{79}\right)^{-2}$$