Let f(x) be a real valued function. Then its Left Hand Derivative (L.H.D.) : Lf′(a) = lim_{h→0} (f(a − h) − f(a))/(−h) Right Hand Derivative (R.H.D.) : Rf′(a) = lim_{h→0} (f(a + h) − f(a))/h Also, a function f(x) is said to be differentiable at x = a if its L.H.D. and R.H.D. at x = a exist and both are equal. For the function f(x) = {|x − 3|, x ≥ 1; x²/4 − 3x/2 + 13/4, x < 1} answer the following questions :

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CASE_STUDIESLeft Hand and Right Hand LimitsDerivative of a FunctionDifferentiability and ContinuityCBSE PYQ3 sub-questions

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