1.

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)

Answer»

`-1`
1
0
data is insufficient

Solution :Replace x by `-x`
`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


Discussion

No Comment Found

Related InterviewSolutions