Home › CBSE Class 12 (Commerce) › Mathematics › Application of Derivatives › x + 1/x slopes downward on which interval?
x + 1/x slopes downward on which interval?
A(0, 1)
B(−∞, −1)
C(−∞, 0)
D(1, ∞)
Answer & Solution
Correct answer: A. (0, 1)
f'(x) = 1 − 1/x² is negative when 0 < |x| < 1, so f falls on (0, 1).
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