Concavity

Welcome to the Concavity category on Questions LLC! Whether you are a math enthusiast, a student, or simply curious about this fascinating concept, you've come to the right place. Concavity is a fundamental concept in mathematics that deals with the shape and behavior of functions, curves, and surfaces. This category is a hub for all your inquiries related to concavity, covering topics such as finding inflection points, identifying concave up and concave down intervals, understanding the second derivative test, and much more. Our community of experts is here to provide insightful answers and assist you in unraveling the intricacies of concavity. Let's delve into the fascinating world of math and explore the depths of concavity together!

Questions (17)

Consider the function f(x)=xe^2x. Find the intervals on which f(x) is concave up and the intervals where it is concave down.
1. 4 answers
2. asked by anonymous
3. 2,799 views
Find the largest open intervals where the function is concave upward.f(x)=x^4-8x^2
1. 4 answers
2. asked by tony
3. 2,564 views
1. Find all intervals on which the graph of y=(x^2+1)/x^2 is concave upward.A. (negative infinity, infinity) B. (negative
1. 4 answers
2. asked by Anonymous
3. 2,619 views
Suppose you know that f(x) is an odd functon on the domain of all real numbers and that the function is concave up on the
1. 4 answers
2. asked by Mishaka
3. 2,709 views
Consider the function below.f(x)= (x^2)/((x-4)^2) Find the interval where the function is concave up. (Enter your answer using
1. 3 answers
2. asked by TayB
3. 998 views
Given f(x)=cos(5x)on the closed interval [0,2π/5]Find the open intervals where f is concave down and the open intervals where f
1. 7 answers
2. asked by jj
3. 785 views
Consider the function below.f(x)= (x^2)/((x^2+4) Find the interval where the function is concave up. (Enter your answer using
1. 1 answer
2. asked by ForrestGump
3. 91 views
Given f(x)=x^4(2x^2-15). On what interval(s) is the graph of f concave upwards?A. (0, sqrt(3)) B. (-sqrt(3), 0) C. (-sqrt(3), 0)
1. 2 answers
2. asked by Sarah
3. 785 views
Determine the concavity for f(x)= 4/x^2-1I took the second derivative and solved for zeros. I got x=-1 and x=1. However when
1. 1 answer
2. asked by Lisa
3. 331 views
FOr the function f(x)=x^2e^xFind the critical points, increasing decreasing, first and second derivative and concavity I am
1. 3 answers
2. asked by songyi
3. 552 views
Find the interval on which the curve of y= the integral from 0 to x of 2/(1+3t+t^2)dt is concave up.Can someone please explain?
1. 6 answers
2. asked by Kate
3. 1,896 views
Find the interval on which the curve of y equals the integral from 0 to x of 6 divided by the quantity 1 plus 2 times t plus t
1. 1 answer
2. asked by Ernie
3. 1,080 views
Answer the following questions for the functionf(x) = sin^2(x/3) defined on the interval [ -9.424778, 2.356194]. Rememer that
1. 2 answers
2. asked by Anonymous
3. 659 views
Determine over what interval(s) is the function y=4x-6arctan(x) is concave up/concave downI took the second derivative and ended
1. 2 answers
2. asked by John
3. 484 views
Determine where the function is concave upward and where it is concave downward.g(x)=-x(^2)+4x+8
1. 1 answer
2. asked by Anonymous
3. 458 views
Present the concavity test and explain how to use� ′ ′ ( � ) f ′′ (x) to determine concavity.
1. 5 answers
2. asked anonymously
3. 25 views
Which of the following represents the interval where f(x)=xex is concave up? (1 point) Responses x<−2 x < − 2 x<−1 x < −
1. 1 answer
2. asked anonymously
3. 14 views