If the function f(x) = … is differentiable at x = 1, then … is equal to :

Option C. As f(x) is differentiable at x = 1

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Limits Continuity and Differentiability

JEE Main 2016 · 9 Apr, Morning shift · Q4181

MathematicsHard179×since 2002Q4181

If the function f(x) =

\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \right),} & {1 \le x \le 2} \cr } } \right.

is differentiable at x = 1, then

{a \over b}

is equal to :

JEE Main 2016 · 9 Apr, Morning shift · Q4181

MathematicsHard179×since 2002Q4181

If the function f(x) =

\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \right),} & {1 \le x \le 2} \cr } } \right.

is differentiable at x = 1, then

{a \over b}

is equal to :