Match the functions of List - 1 with their derivates given in List - II List−I List−II A) Sec^{-1}x I) 1/{1-x^2}, x ∊ (-1,1) B) Tanh^{-1}x II) -1/{|x|\sqrt{x^2-1}, x ≠ 0 C) Coth^{-1}x III) 1/{|x|\sqrt{x^2-1}, |x| > 1 D) Cosech^{-1}x IV) 1/{1-x^2}, x ∊ R - [-1, 1] V) {-1}/{|x|\sqrt{1-x^2}, |x|

Correct Answer is : ABCDIIIIIVII

\table \A,\B,\C,\D;\V,\II,\I,\III

\table \A,\B,\C,\D;\I,\III,\V,\II

\table \A,\B,\C,\D;\III,\I,\II,\V

\table \A,\B,\C,\D;\III,\I,\IV,\II

TS EAMCET 11-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 64 of 160

Marks: +1, -0

Match the functions of List - 1 with their derivates given in List - II

List−I

List−II

A) Sec−1x

1−x2

, x ∊ (-1,1)

B) Tanh−1x

II) −

|x|√x2−1

, x ≠ 0

C) Coth−1x

III)

|x|√x2−1

, |x| > 1

D) Cosech−1x

IV)

1−x2

, x ∊ R - [-1, 1]

−1

|x|√1−x2

, |x| < 1, x ≠ 0

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