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  4. If f(x)=x4 tan (x3)-x ln (1+x2), then the value of (d4(f(x))/d x4) at x=0 is

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Q. If $f(x)=x^{4} \tan \left(x^{3}\right)-x \ln \left(1+x^{2}\right)$, then the value of $\frac{d^{4}(f(x))}{d x^{4}}$ at $x=0$ is

Continuity and Differentiability

Solution:

As, $f(x)=x^{4} \tan \left(x^{3}\right)-x \ln \left(1+x^{2}\right)$ is odd function,
$\frac{d^{4} f(x)}{d x^{4}}=0$ at $x=0$.