Differentiability at a point: algebraic (function is differentiable)
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Khan Academy
Differentiability at a point: algebraic (function is differentiable)
We examine a piecewise function to determine its continuity and differentiability at an edge point. By analyzing left and right hand limits, we establish continuity. Checking the limit of the difference quotient confirms both left and right hand limits are equal, making the function continuous and differentiable at the edge point.
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