If f(x) = { x^2, x < 0; kx + 1, x >= 0 } is differentiable at x = 0, what is k?

Practice Questions

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Q1
If f(x) = { x^2, x < 0; kx + 1, x >= 0 } is differentiable at x = 0, what is k?
  1. -1
  2. 0
  3. 1
  4. 2

Questions & Step-by-step Solutions

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Q
Q: If f(x) = { x^2, x < 0; kx + 1, x >= 0 } is differentiable at x = 0, what is k?
Solution: Setting the derivatives equal at x = 0 gives k = 0.
Steps: 0

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