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what is differentiability ?

what is differentiability ?

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1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
9 years ago
More generally, ifx0is a point in the domain of a functionf, thenfis said to bedifferentiable
atx0if 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 mohammad
askiitians faculty
b.tech, iit delhi

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