Math Questions and Answers

Start Your Free Trial

`f(x) = sin(x/2), [0, 4pi]` Find the points of inflection and discuss the concavity of the graph of the function.

Expert Answers info

Borys Shumyatskiy eNotes educator | Certified Educator

calendarEducator since 2015

write1,115 answers

starTop subjects are Math and Science

This function is defined everywhere and is infinitely differentiable.

At the points of inflection of f the second derivative must be zero:

f'(x)=(1/2)*cos(x/2),

(The entire section contains 99 words.)

Unlock This Answer Now


check Approved by eNotes Editorial