Q. 114.2( 44 Votes )

It is given that

Answer :

It is given that f(x) = x⁴ – 62x² + ax + 9

Then, f’(x) = 4x³ – 124x+ a

It is given that function f attains its maximum value on the interval [0, 2] at x = 1.

⇒ f’(1) = 0

⇒ 4 – 124 + a = 0

⇒ a = 120

Therefore, the value of a is 120.

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