x^3*1*1/x eching

$$x ^ { 3 } \times 1 \times \frac { 1 } { x }$$

Baholash

$$x^{2}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{x^{3}}{x^{1}}$$

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

$$x^{3-1}$$

3 dan 1 ni ayirish.

$$x^{2}$$

x ga nisbatan hosilani topish

$$2x$$

Koʻpaytma uchun derivativ qoidasidan foydalanish qadamlari

Har qanday ikki differensial funksiya uchun, ikki funksiya koʻpaytmasining hosilasi birinchi funksiya marotabasi, ikkinchi plyus hosilasi ikkinchi funksiya marotabasi birinchining hosilasidir.

$$x^{3}\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x})+\frac{1}{x}\frac{\mathrm{d}}{\mathrm{d}x}(x^{3})$$

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

$$x^{3}\left(-1\right)x^{-1-1}+\frac{1}{x}\times 3x^{3-1}$$

Qisqartirish.

$$x^{3}\left(-1\right)x^{-2}+\frac{1}{x}\times 3x^{2}$$

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

$$-x^{3-2}+3x^{-1+2}$$

Qisqartirish.

$$-x^{1}+3x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$-x+3x$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{3-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{2})$$

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

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

Arifmetik hisobni amalga oshirish.

$$2x^{1}$$

Har qanday t sharti uchun t^{1}=t.

$$2x$$