It is given that at x = 1, the function x4 – 62x2 + ax + 9 attains i

1.	It is given that at x = 1, the function x4 – 62x2 + ax + 9 attains its maximum value, on the interval [0, 2]. Find the value of a.
Answer» f (x) = x⁴ – 62x² + ax + 9 f'(x) = 4x³ – 124x + a at x = 1, the function has maximum value ∴ f'(1) = 0 ⇒ 4 (1)² -124 (1) + a = 0, a = 120 ∴ when a = 120, the function attains maximum value.

It is given that at x = 1, the function x4 – 62x2 + ax + 9 attains its maximum value, on the interval [0, 2]. Find the value of a.

Answer»

f (x) = x⁴ – 62x² + ax + 9

f'(x) = 4x³ – 124x + a

at x = 1, the function has maximum value

∴ f'(1) = 0 ⇒ 4 (1)² -124 (1) + a = 0, a = 120

∴ when a = 120, the function attains maximum value.