Find the derivative of f(x)=ln(1−x24)f(x) = \ln(\sqrt[4]{1-x^2})f(x)=ln(41−x2) for ∣x∣<1|x|<1∣x∣<1.
−x2(1−x2)\frac{-x}{2(1-x^2)}2(1−x2)−x
−x4(1−x2)\frac{-x}{4(1-x^2)}4(1−x2)−x
x1−x2\frac{x}{1-x^2}1−x2x
14(1−x2)\frac{1}{4(1-x^2)}4(1−x2)1