The derivative of f(x) = e^(|x|) at x = 0 is:
The derivative of f(x) = e^(|x|) at x = 0 is:
- A. 0
- B. 1
- C. −1
- D. Does not exist
Answer: D) Does not exist
Explanation: LHD at x = 0 is lim(h→0⁻) e^(−h) × (−1) = −1. RHD at x = 0 is lim(h→0⁺) e^h × (1) = 1. Since LHD ≠ RHD, it does not exist.
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