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Let f(x) be a function fourth differentiable function such that f(2x^2-1)=2xf(x) , for all x belong to R then f^4(0) is equal to .

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Solution: Replace x by -x

\Rightarrow hspace1cmx[f(x)-f(-x)]=0

Rightarrow     f(x) is odd function .

\ Rightarrow hspace1cmf^4(x) is also odd Rightarrow f^4(0)=0

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Deependra Verma

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