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In calculus (a branch of mathematics), a differentiable function of one real variable is a function whose derivative exists at each point in its domain.
Example: The function g(x) = |x| with Domain (0,+â) The domain is from but not including 0 onwards (all positive values). Which IS differentiable. And I am absolutely positive about that :) So the function g(x) = |x| with Domain (0,+â) is differentiable.