-x:x^2 eching

$$- x : x ^ { 2 }$$

Baholash

$$-\frac{1}{x}$$

Ikki eksponentning koʻpaytmasi uchun qadamlar

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

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

Ikki yoki undan ko'p raqam koʻpaytmasini daraja ko'rsatkichiga oshirish uchun har bir raqamni daraja ko'rsatkichiga oshiring va ularning koʻpaytmasini chiqaring.

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

Ko'paytirishning kommutativ xususiyatidan foydalanish.

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

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

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

2 ni -1 marotabaga ko'paytirish.

$$-\frac{1}{1}x^{1}x^{-2}$$

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

$$-\frac{1}{1}x^{1-2}$$

1 va -2 belgilarini qo'shish.

$$-\frac{1}{1}\times \frac{1}{x}$$

x ga nisbatan hosilani topish

$$\frac{1}{x^{2}}$$

Yechim qadamlari

Ayni asosning daraja ko'rsatkichi bo'lish uchun maxrajning darajasini surat darajasidan bo'ling.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\left(-\frac{1}{1}\right)x^{1-2})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{1}{x})$$

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

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

Arifmetik hisobni amalga oshirish.

$$x^{-2}$$