I need help with calculus

Question

Consider the following. (If an answer does not exist, enter DNE.)

f(x) = ln(2 + sin(x)),    0 ≤ x ≤ 2𝜋

Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)

Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)

Find the inflection points of f.

smaller x-value(x, y)



larger x-value (x,y)

Answer 1

desmos.com/calculator/xu7zwkbjva

The video solution did not show the intervals of concavity in interval notation. Hopefully you can figure that out.