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If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1). f'(1) = X

If f(x) + x²[f(x)]³ = 10 and f(1) = 2, find f'(1). f'(1) = X

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Question
The image shows a mathematical problem on a screen with the following text: "If \( f(x) + x^2 [f(x)]^3 = 10 \) and \( f(1) = 2 \), find \( f'(1) \). \[ f'(1) = \]" There is a blank space for input, followed by a red "X," indicating an incorrect response. No graphs or diagrams are present.
Transcribed Image Text:The image shows a mathematical problem on a screen with the following text: "If \( f(x) + x^2 [f(x)]^3 = 10 \) and \( f(1) = 2 \), find \( f'(1) \). \[ f'(1) = \]" There is a blank space for input, followed by a red "X," indicating an incorrect response. No graphs or diagrams are present.
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