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If f(x) = x^(4)tan (x^(3))-x" In "(1+x^(...

If f(x) = `x^(4)tan (x^(3))-x" In "(1+x^(2)),` then the value of `(d^(4)(f(x)))/(dx^(4))" at "x=0` is

A

0

B

6

C

12

D

24

Text Solution

Verified by Experts

`"As "f(x) = x^(4) tan (x^(3))-x" In "(1+x^(2))" is odd, "(d^(3)f(x))/(dx^(3))` is even
`"Hence, "(d^(4)f(x))/(dx^(4))=0at x = 0.`
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