Найдите производную функции: 4*[tex]\sqrt[3]{x}[/tex]-3*[tex]\sqrt[4]{x}[/tex]. Created by 263344. algebra-ru

tex]...

August 2022 1 9 Report

Найдите производную функции:
4*[tex]\sqrt[3]{x}[/tex]-3*[tex]\sqrt[4]{x}[/tex]

Answers & Comments

MistaB

$\frac{d}{dx}(4\sqrt[3]{x}-3\sqrt[4]{x})=\\\\=\frac{d}{dx}(4\sqrt[3]{x})-\frac{d}{dx}(3\sqrt[4]{x})=\\\\=4\frac{d}{dx}(\sqrt[3]{x})-3\frac{d}{dx}(\sqrt[4]{x})=\\\\=4\frac{d}{dx}(x^{\frac{1}{3}})-3\frac{d}{dx}(x^{\frac{1}{4}})=\\\\=4\cdot \frac{1}{3}x^{\frac{1}{3}-1}-3\cdot \frac{1}{4}x^{\frac{1}{4}-1}=\\\\=4\cdot \frac{1}{3}x^{-\frac{2}{3}}-3\cdot \frac{1}{4}x^{-\frac{3}{4}}=\\\\=4\cdot \frac{1}{3}\cdot \frac{1}{x^{\frac{2}{3}}}-3\cdot \frac{1}{4}\cdot \frac{1}{x^{\frac{3}{4}}}=$

$=\frac{4}{3x^{\frac{2}{3}}} - \frac{3}{4x^{\frac{3}{4}}}$

0 votes Thanks 0

Answers & Comments

tex]...

tex] * cosx...

na gipotenuzu ab pryamougolnogo treugolnika abc opushena vysota ch ah4 bh64

najdite proizvodnuyu funkcii 2sinx x

najdite proizvodnuyu funkcii ctgx sinx

radius vpisannoj v kvadrat okruzhnosti raven 222 najdite diagonal etogo kvadra

reshite uravnenie 33h2 338h3a68b4b30def892a584c9c750172252b 67088

reshite uravnenie 33h2 338h

491271 27 2 2

pryamaya avtorskaya harakteristika tarasa bulby

рекомендуемые вопросы

Helpful Links

Helpful Social