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

Answered: Find the values of a, b, such that the…

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).