alleryIf f(x) = 1/x, then f′(x) is:
A1/x
B1/x²
C−1/x²
D−1/x
Answer & Solution
Correct answer: C. −1/x²
1. f(x) = x^(−1). Power rule: d/dx [x^(−1)] = −1 · x^(−2) = −1/x².
2. Valid for x ≠ 0.
_Source: syllabus Maths Ch 13 §13.4 (negative power)_
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