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3 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Linear Approximation at a point |
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- Find a point you know to approximate to what they are asking. - This point will be x1, plug in in original equation to get y1 - Take derivative of OG equation and plug in x1 to get slope - Plug in for slope-int form, which is L(x) - The x there will be the original X of the problem, so plug in to see the value of the Approximation and how close it was |
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Finding Local Extrema |
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- Take derivative of OG equation - Set it equal to 0 - Solve for X to find critical points - Use 2nd derivative, plug in crit points and see what sign they are - if >0, local min at that point with value of the number plugged into OG equation if <0, local max at that point with value of the number plugged into OG equation |
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Inflection points & Global max |
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- Inflection point = Where second derivative equals 0 - For global extrema, check the interval and see if the crit points of the function fit there. If so, plug in those numbers in the OG equation. - The greatest number = global max at that point - The lowest number = global min at that point |
