To find the 4th derivative of f(x) at x=0, we will use the Maclaurin series expansion of f(x).
The Maclaurin series for an even function f(x) is given by:
f(x)=f(0)+2!f′′(0)x2+4!f(4)(0)x4+…
We need to find the coefficient of x4 in the Maclaurin series of f(x) and multiply it by 4!.
Step 1: Determine if f(x) is an even or odd function.
The function is $f(x) = \tan^{-1}\