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If f(x)=x^4tan(x^3)-x1n(1+x^2), then the...

If `f(x)=x^4tan(x^3)-x1n(1+x^2),` then the value of `(d^4(f(x)))/(dx^4)` at `x=0` is 0 (b) 6 (c) 12 (d) 24

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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CENGAGE-DIFFERENTIATION-Exercise (Single)
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  3. If f(x)=x^4tan(x^3)-x1n(1+x^2), then the value of (d^4(f(x)))/(dx^4) ...

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  15. If f(x)=sqrt(1-sin2x) , then f^(prime)(x) is equal to -(cosx+sinx),for...

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