Question

# If is differentiable at x = 1, find a, b.

Solution

## Given:  It is given that the given function is differentiable at x = 1. We know every differentiable function is continuous. Therefore it is continuous at x=1. Then, It is also differentiable at x=1. Therefore,  (LHD at x = 1) = (RHD at x = 1) From (i), we have: Hence, when $a=-\frac{1}{2}$ and $b=-\frac{3}{2}$ the function is differentiable at x = 1. MathematicsRD Sharma XII Vol 1 (2015)Standard XII

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