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Application of Derivatives

RS Aggarwal

CBSE

Grade 12

Question:

If $f(x) = x^4 - 62 x^2 + ax + 9$ attains local maximum at $x = 1$, then $a$ is:
(a) $120$
(b) $60$
(c) $52$
(d) $100$

Step-by-Step Solution

Key Concept: f'(1) = 4(1)^3 - 124(1) + a = 0 => a = 120.

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Correct Answer: $120$

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