MAT 21A Lecture Notes - Lecture 27: Qoph, Inflection
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Document Summary
Recall thatthe 1st derivative tells us if thefunction in increasing or decreasingthe secondderivative gives us information about howtheqoph of the differentiablefunction bends or turns if f ie increasing on i. Concavedown on an openinterval iif f is decreasing on. If tangents increase then it conceives up r. O on i them concave up then concave down d. X 3 gcd o v so concave up. Inflection where the concavity changes in the function fed where thegraph of a function has atangent c d point line and where the concavity changes. We also see that any number x negative so negative positive x i i in so the graph off. So xn lrcc. o there is an on on. 1 to cz. co concavely inflection point whereconcavity changes. 53 73 0 when ko fch d 3 27 4 4 fails to existat x o.
