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Differential Calculus> differentiability...

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what is differentiability ?

tushar khurana , 13 Years ago

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1 Answers

Sher Mohammad

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

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b.tech, iit delhi

Last Activity: 12 Years ago

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