Question
Suppose that f(x)=3x^3+3x. Find all critical values of f. Then use interval notation to state when f(x) is increasing and when f(x) is decreasing and to state when f(x) is concave up and concave down. Find the local maxima and local minima. Find all vertical and horizontal asymptotes as well as all inflection points.
Answers
f' = 9x^2+3
f" = 18x
max/min when f' = 0
increasing when f' > 0
concave up when f" > 0
Now go for it.
f" = 18x
max/min when f' = 0
increasing when f' > 0
concave up when f" > 0
Now go for it.
Related Questions
Find the absolute maximum and absolute minimum values of f on the given interval.
f(x) = 17 + 4x −...
Suppose that f(x)=x^[1/3](x+3)^[2/3]
(A) Find all critical values of f. If there are no critical...
Suppose that f(x)=x−7x^[1/7]
(A) Find all critical values of f.
(B) Use interval notation to ind...
Suppose that, based on a simple random sample of n = 100 American adult men, we wish to calculate a...