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CGP EDU Academic Team
Published on: August 14, 2026
Let f (x) be a polynomial function such that f(x) + f'(x) + f "(x) = x 5 + 64. Then, the value of 
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Verified by ExpertsThe correct answer is:
A
f(x) + f (x) + t"(x) = x 5 + 64
f (x) + f" (x)+f "(x) = 5x 4
f"(x) + f "(x) + f iv (x) = 20x 3
f "(x) + f iv (x) + f v (x) = 60x 2
f v (x) - f'(x) = 60x 2 - 20x 3
120 - f"(l) = 40 
f'(l) = 80
Also f(l) + f ’ (1) + f'(1) = 65 
f ’ (1) = -15. Ans.
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