WebViewed 8k times. 1. When asked to find the interval on which the following curve is concave upward. y = ∫ 0 x 1 94 + t + t 2 d t. What is basically being asked to be done here? Evaluate the integral between [ 0, x] for some function and then differentiate twice to find the concavity of the resulting function? calculus. derivatives. WebStep 2: Write the intervals found in step 1 in interval notation or using inequality signs. The first interval where the function is concave up extends infinitely to the left and stops at …

Concavity, Inflection Points, Increasing Decreasing, First …

WebIn Summary. In calculus, we often encounter the concepts of concavity and inflection points, which describe the shape of a curve. Specifically, an interval of concave up refers to a … WebIf the point is either less than zero, or between zero and 5/2, the derivative evaluates to a negative number, which means the slope of the function evaluated at those points is negative, so the slope is negative, hence the function is decreasing in those intervals, which is what we were asked to find. Keep Studying! thyroid cervical spine

Solved Determine the intervals on which the function is - Chegg

WebThe second derivative of a function may also be used to determine the general shape of its graph on selected intervals. A function is said to be concave upward on an interval if … WebYes it would, assuming that the function is defined at the point. An inflection point only requires: 1) that the concavity changes and. 2) that the function is defined at the point. You can think of potential inflection points as critical points for the first derivative — i.e. they may occur if f" (x) = 0 OR if f" (x) is undefined. WebMar 29, 2016 · 1. Suppose you pour water into a cylinder of such cross section, ConcaveUp trickles water down the trough and holds water in the tub. ConcaveDown trickles … thyroid certification