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Application of Derivatives
RS Aggarwal
CBSE
Grade 12
Question:
The function $f(x) = x^3 - 3x^2 + 3x - 100$ is: (a) Increasing on $\mathbb{R}$ (b) Decreasing on $\mathbb{R}$ (c) Increasing on $(0, \infty)$ only (d) Decreasing on $(-\infty, 0)$ only
Step-by-Step Solution
Key Concept: f'(x) = 3(x-1)^2 >= 0 everywhere on R.
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Correct Answer:Increasing on $\mathbb{R}$
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