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Let f(x) be a function which is differentiable any number of times and f(2x^(2)-1)=2x^(3)f(x), AA x in R. Then f^((2010))(0)= (Here f^((n))(x)=n^(th) order derivative of f at x) |
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Answer» `-1` `therefore""f(2x^(2)-1)=-2x^(3)f(-x)` `""2x^(3)f(x)=-2x^(3)f(-x)` `RARR""f(-x)=-f(x)` `therefore"f(x) or ODD function"` `therefore""f^((n))(0)=0`, when n is EVEN |
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