Consider the function f(x) = ex/3 + ex Then f\'(x) = (3 e^x)/(3+e^x)^2 The follo
ID: 3287589 • Letter: C
Question
Consider the function f(x) = ex/3 + ex Then f'(x) = (3 e^x)/(3+e^x)^2 The following questions ask for endpoints of intervals of increase or decrease for the function f(x). Write INF for infinity, MINF for - infinity, and NA (ie. not applicable) if there are no intervals of that type. The interval of increase for f(x) is from minf to inf The interval of decrease for f(x) is from na to na f(x) has a local minimum at na . (Put XA if none.) f(x) has a local maximum at na . (Put XA if none.) Then f"(x) = -(3 e^x (-3+e^x))/(3+e^x)^3 The following questions ask for endpoints of intervals of upward and downward concavity for the function f(x). Write INF for infinity, MINF for - infinity, and put NA if there are no intervals of that type. The interval of upward concavity for f(x) is from minf to The interval of downward concavity for f(x) is from to inf| f(x) has a point of inflection at (Put XA if none.)Explanation / Answer
the fuction increases for x from MINF ti INF as f'(x) is positive through out, it does not dedecrease neither it has a maximum or minimum as it is strictly increasing concave for x from MINF to INF no point of inflection