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Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, x >= 1 }

Practice Questions

1 question
Q1
Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, x >= 1 }
  1. f(1) = 1
  2. f(1) = 0
  3. f(1) = 2
  4. f(1) = 3

Questions & Step-by-step Solutions

1 item
Q
Q: Which of the following functions is differentiable at x = 1? f(x) = { x^2, x < 1; 2x - 1, x >= 1 }
Solution: Check continuity and differentiability at x = 1 by equating left and right derivatives.
Steps: 0

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