Question:
If at \( x = 1 \), the function \( x^4 - 62x^2 + ax + 9 \) attains its maximum value on the interval \( [0, 2] \), then the value of \( a \) is:
If at \( x = 1 \), the function \( x^4 - 62x^2 + ax + 9 \) attains its maximum value on the interval \( [0, 2] \), then the value of \( a \) is:
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To find the maximum or minimum value of a function, take the derivative and solve for critical points, then check the value at those points.
Updated On: Jan 12, 2026
- 110
- 10
- 55
- None of these
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: To find the value of \( a \), differentiate the function and find the critical points.
Step 2: By substituting \( x = 1 \) into the function and ensuring that it is a maximum, we solve for \( a \), which gives \( a = 55 \).
Final Answer: \[ \boxed{55} \]
Step 2: By substituting \( x = 1 \) into the function and ensuring that it is a maximum, we solve for \( a \), which gives \( a = 55 \).
Final Answer: \[ \boxed{55} \]
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