Linear approximation / tangent approximation (L(x) = f(a) + f'(a)(x−a) approximates f(x) near a)

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L(x) = f(a) + f'(a)(x−a) approximates f(x) near a

What each symbol means

SymbolWhat it stands for
aBase point
L(x)Tangent line value

When to use this

f differentiable at a; x close to a for good approximation.