y^4/y eching

$$\frac { y ^ { 4 } } { y }$$

Baholash

$$y^{3}$$

Tartib xususiyati koeffitsientidan foydalanish qadamlari

Ifodani qisqartirish uchun eksponent qoidalaridan foydalanish.

$$\frac{y^{4}}{y^{1}}$$

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

$$y^{4-1}$$

4 dan 1 ni ayirish.

$$y^{3}$$

y ga nisbatan hosilani topish

$$3y^{2}$$

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.

$$y^{4}\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{y})+\frac{1}{y}\frac{\mathrm{d}}{\mathrm{d}y}(y^{4})$$

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

$$y^{4}\left(-1\right)y^{-1-1}+\frac{1}{y}\times 4y^{4-1}$$

Qisqartirish.

$$y^{4}\left(-1\right)y^{-2}+\frac{1}{y}\times 4y^{3}$$

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

$$-y^{4-2}+4y^{-1+3}$$

Qisqartirish.

$$-y^{2}+4y^{2}$$

Yechim qadamlari

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

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{1}y^{4-1})$$

Arifmetik hisobni amalga oshirish.

$$\frac{\mathrm{d}}{\mathrm{d}y}(y^{3})$$

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

$$3y^{3-1}$$

Arifmetik hisobni amalga oshirish.

$$3y^{2}$$