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Find the values of a, b, such that the function ax+b, x 0, ≥ f(x) = x²+1, x < 0 is differentiable on (-∞0, +∞0). Further, find f'(x).

Find the values of a, b, such that the function ax+b, x 0, ≥ f(x) = x²+1, x < 0 is differentiable on (-∞0, +∞0). Further, find f'(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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Find the values of a, b, such that the function ax+b, x 0, ≥ f(x) = x²+1, x < 0 is differentiable on (-∞0, +∞0). Further, find f'(x).
Transcribed Image Text:Find the values of a, b, such that the function ax+b, x 0, ≥ f(x) = x²+1, x < 0 is differentiable on (-∞0, +∞0). Further, find f'(x).
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