Observe the following statements: $I. f(x) =ax^{41}+bx^{-40}=> \large\frac{f''(x)}{f(x)}$$=1640\;x^{-2} \quad II. \large\frac{d}{dx} $$\tan ^{-1} \bigg(\large\frac{2x}{1-x^2}\bigg)=\frac{1}{1+x^2}$Which of the following is correct ?

Question

(a) I is true, but II is false (b) Both I and II are true (c) Neither I nor II is true (d) I is false, but II is true