In computation, the function f is defined by f (x) = {\\begin{array}{c}ax^{2\end{array} + 2x−1 , x \leq 1 ; b−cx^{2} , x > 1 ; }where a, b, c are constants. It is given that f(x) is differentiable at x = 1 and f'(0) = f'(2). Then the value of b is

AAI ATC Junior Executive 26 Dec 2015 Shift 1 Paper

Question : 91 of 120

Marks: +1, -0

In computation, the function f is defined by

f (x) = {\{\table ax^{2} + 2x−1 , x ≤ 1 ; b−cx^{2} , x > 1 ; }

where a, b, c are constants. It is given that f(x) is differentiable at x = 1 and f'(0) = f'(2). Then the value of b is

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