x ?5x+6 Is it differentiable?? Is f(x) = x?2 differentiable at x = 2? Justify your answer.

SOLUTION STEP 1 2 (x3)(x2) Given f(x) = x 5x+6= = x 3 x2 x2 STEP 2 We need to find whether f(x)=x-3 is differentiable at x=2. For that ,we consider the left and right hand derivatives of the function at x=2. The left hand derivative of f(x) at x=2 is f(2+h)f(2) f(2) = lim = lim...