Solved: The left-hand and right-hand derivatives of at are defined by and if these

Chapter 2, Problem 2.8.54

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The left-hand and right-hand derivatives of at are defined by and if these limits exist. Then exists if and only if these onesided derivatives exist and are equal. f !!a" f ! #!a" ! lim hl0# f!a # h" $ f !a" h f ! $!a" ! lim hl0$ f!a # h" $ f !a" (a) Find and for the function(b) Sketch the graph of .(c) Where is discontinuous?(d) Where is not differentiable?

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