To be differentiable, a function must be continuous and smooth. Derivatives will fail to exist at: cornercusp vertical tangent discontinuity. - ppt download
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SOLVED: Decide if the following function f(x) is differentiable at x=0. Try zooming in on a graphing calculator (like desmos or geogebra), or try calculating the derivative f^'(0) from the definition. f(x)={