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what is differentiability ?
More generally, ifx0is a point in the domain of a functionf, thenfis said to bedifferentiableatx0if the derivativef'(x0) exists. This means that the graph offhas a non-vertical tangent line at the point (x0,f(x0)). The functionfmay also be calledlocally linearatx0, as it can be well approximated by alinear functionnear this point.sher mohammadaskiitians facultyb.tech, iit delhi
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