MATH-M 119 Study Guide - Midterm Guide: Inflection Point
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MATH-M 119 Full Course Notes
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This is not a complete list of formulas and concepts, but knowing these formulas and concepts is a great start to your studying! Change is just subtraction while average rate of change is the slope formula: bf af ab m. This slope is the slope of the secant line. If we want the slope of the tangent line, we need the instantaneous rate of change or derivative. Words that will hint that you want the derivative are: slope (of the tangent line), rate (without percent or interest which is r), velocity, or changing. The unit for the derivative will always have the word per as you need to divide. (e. g. miles per hour m h. For the second derivative, words like acceleration, concavity, or the use of two words from above (thus implying the derivative is taken twice) are a good thing to look for.
