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Question
If f(x) = `x^3 - 1/x^3`, then show that `"f"(x) + "f"(1/x)` = 0
Solution
f(x) = `x^3 - 1/x^3` .....(1)
`"f"(1/x) = (1/x)^3 - 1/(1/x)^3`
`= 1/x^3 - x^3` ....(2)
(1) + (2) gives
`"f"(x) + "f"(1/x) = x^3 - 1/x^3 + 1/x^3 - x^3` = 0
Hence Proved.
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