Differentiate f(x) = |x³| at x = 0.
Differentiate f(x) = |x³| at x = 0.
- A. 0
- B. 1
- C. −1
- D. Does not exist
Answer: A) 0
Explanation: f(x) = x³ for x ≥ 0 and −x³ for x < 0. f'(x) = 3x² for x > 0 and −3x² for x < 0. At x = 0, both left and right derivatives equal 0.
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