Observe the following statements I. f(x)=a x^{41}+b x^{-40} \Rightarrow \frac{f^{' '}(x)}{f(x)}=1640 x^{-2} II. \frac{d}{d x} \tan ^{-1} (\frac{2 x}{1-x^2}) =\frac{1}{1+x^2} Which of the following is correct?

Correct Answer is : I is true, but II is false

EAMCET Engineering 2005 Solved Paper

Section: Mathematics

Question : 144 of 160

Marks: +1, -0

Observe the following statements
I. f(x)=ax41+bx−40⇒‌

f′′(x)

f(x)

=1640x−2
II. ‌

tan−1(‌

1−x2

)=‌

1+x2

Which of the following is correct?

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