Application of Derivatives
NCERT Exemplar Class 12
CBSE
Grade 12
Question:
The function $f(x) = x^9 + 3x^7 + 64$ is increasing on:
(a) $\mathbb{R}$
(b) $(-\infty, 0)$
(c) $(0, \infty)$
(d) None of these
Step-by-Step Solution
f'(x) = 9x^8 + 21x^6 >= 0 for all x. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Selecting $\mathbb{R}$: 1.0 Mark
Correct Answer: $\mathbb{R}$
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