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Mathematics · JEE | APPLICATION OF DERIVATIVES
हिन्दीFor what values of \( a \) is the function \( f(x) = x^2 + ax + 1 \) increasing on \( [1, 2] \)?
View Answer & Solution
Correct answer · Option A
\( a \ge -2 \) / \( a \ge -2 \)
Explanation
Derivative \( f'(x) = 2x + a \). For \( f \) to be increasing on \( [1, 2] \), \( f'(x) \ge 0 \) for all \( x \in [1, 2] \), which means \( 2(1) + a \ge 0 \implies a \ge -2 \).
