Determine all pairs of real numbers a and b so that the following function, f(x), is...

  

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Determine all pairs of real numbers a and b so that the following function, f(x), is differentiable at all real values, x. x-x x, if x 1 x -52+4 f(x) = if 1 < x <4 ax sin(x-4) x+b ' if x 4 Determine all pairs of real numbers a and b so that the following function, f(x), is differentiable at all real values, x. x-x x, if x 1 x -52+4 f(x) = if 1 < x <4 ax sin(x-4) x+b ' if x 4