Application of Derivatives · Class 12 · CBSE · Science Mathematics
For the function f(x) = x³ − 3x², on which intervals is f increasing?
Practice question from Application of Derivatives (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-AA174F
For the function f(x) = x³ − 3x², on which intervals is f increasing?
- A.(−∞, 0) and (2, ∞)Correct answer
- B.(0, 2)
- C.(−∞, 2)
- D.(0, ∞)
Solution
f′(x) = 3x(x − 2). It is positive when x < 0 or x > 2, so f is increasing on (−∞, 0) and (2, ∞).
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