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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.
according to me arcsin should not be differentiable at $x=1$ as it has infinite slope at that point. But the books say otherwise... $ y=\arcsin x $ $dy/dx= 1/\sqrt(1-x^2) $ at $x=1$ it is not defined... pls explain..