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Find the derivative of: 9x + 4x – 2 23 d 2 + 4x 2 dx - - 2)

Find the derivative of: 9x + 4x – 2 23 d 2 + 4x 2 dx - - 2)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the derivative of: 9x + 4x – 2 x3 d 2 + 4x x3 dx Question Help: D Video e Written Example Submit Question
Transcribed Image Text:Find the derivative of: 9x + 4x – 2 x3 d 2 + 4x x3 dx Question Help: D Video e Written Example Submit Question
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\frac{d}{dx}\left(9\sqrt[3]{x}-\frac{2}{x^3}+4x-2\right)=\frac{d}{dx}\left(9\sqrt[3]{x}\right)-\frac{d}{dx}\left(\frac{2}{x^3}\right)+\frac{d}{dx}\left(4x\right)-\frac{d}{dx}\left(2\right)

\frac{d}{dx}\left(9\sqrt[3]{x}-\frac{2}{x^3}+4x-2\right)= 9\frac{d}{dx}\left(\sqrt[3]{x}\right)-2\frac{d}{dx}\left(\frac{1}{x^3}\right)+4\frac{d}{dx}\left(x\right)-0

\frac{d}{dx}\left(9\sqrt[3]{x}-\frac{2}{x^3}+4x-2\right)= 9\frac{d}{dx}\left(x^{\frac{1}{3}}\right)-2\frac{d}{dx}\left(x^{-3}\right)+4\cdot 1-0

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