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  • https://math.libretexts.org/Courses/Hope_College/Math_125%3A_Hope_College/04%3A_Applications_of_the_Derivative/4.03%3A_The_Tangent_Line_Approximation
    The principle of local linearity tells us that if we zoom in on a point where a function y = f (x) is differentiable, the function should become indistinguishable from its tangent line. That is, a dif...The principle of local linearity tells us that if we zoom in on a point where a function y = f (x) is differentiable, the function should become indistinguishable from its tangent line. That is, a differentiable function looks linear when viewed up close.

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