Question: For the following function, find where the graph is concave up and down: {eq}y = 5 - x^{4/3} {/eq}. Concavity of the Graph: The shape and the concavity of the curve define the types of the function. Concavity denotes the rate of change of the ...
Answer to: Find the open intervals on which f is concave up/concave down and determine the x-coordinates of all inflection points:...
Question: Find the intervals on which f is concave up, concave down, the points of inflection, the critical points, and the local minima and maxima.[Make a derivative chart.] f(x) = x^2 − 8x^1/2, (x >= 0) Find the ...
Answer to: Let f(x)=-2 x^3 -3 x^2-2 x-10. (a). Find the interval where f is concave up. (b). Find the interval where f is concave down. (c). Find...
Local minimum points: A local minimum point is a point at which the curve becomes concave down (-shaped).So the name turning point. For local minimum points the value of \frac{d^{2}y}{dx^{2}} is positive. A local minimum point is shown in fig 2 above. One important thing to not...
Find the values of x for which the given function is concave up, concave down, and any points of inflection. y=−x4+8x3−8x+3 Concavity: If the second derivative of a function is positive on an interval (a,b) we can assu...
1. f(x) is concave up if : f″(x)=d2ydx2>0 2. f(x) is concave down if : f″(x)=d2ydx2<0Answer and Explanation: Given function : y=−x3+2x2−2 To find the intervals in which the function is concave up or down, we need to......
b. Find the intervals of concave up and concave down.Critical Points and Concavity of Functions of a Variable:At the critical points of a function, a change can occur in the intervals where the function is increasing or where the function is decreasing,...
Answer to: Determine the intervals on which the function is concave up or down and find the points of inflection. y= 6x^{7/2} - 210 x^2 By signing...
Concavity can be defined in two different ways: concave up and concave down. The function is concave upward when the slope keeps going up. The function is concave downward if the slope continuously declines.Answer and Explanation: Given The graph of the function ...