Local Linearization

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Last updated 12:32 AM on 12/4/25
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6 Terms

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Equation for approximation (tangent line)

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2 things you need to find a local linearization

A point and a slope 🤯

3
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The final form of linearization (no y)

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Underestimation with local linearization if

f(x) is concave up

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Overestimation with local linearization if

f(x) is concave down

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You can figure out the concavity of f(x) with

Second derivative