Question

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

• A. 0
• B. 6
• C. 12
• D. 24

Answer 1

Answer: (A)

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 $x=0$.