Let y be an implicit function of x defined by x²ˣ - 2xˣ cot y - 1 = 0. Then y'(1) equals

Limit, Continuity and Differentiability: JEE Main 2009 Mathematics question

JEE Main 2009 · Annual, Paper 1 · Q3664

JEE Main 2009Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

y

be an implicit function of

x

defined by

{x^{2x}} - 2{x^x}\cot \,y - 1 = 0

. Then

y'(1)

equals

JEE Main 2009 · Annual, Paper 1 · Q3664

JEE Main 2009Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let

y

be an implicit function of

x

defined by

{x^{2x}} - 2{x^x}\cot \,y - 1 = 0

. Then

y'(1)

equals