In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)^3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences.

Question

amistre64 · Answer

a turning point is also known as an inflection point ... which is related to a second derivative

campbell_st · Answer

I thought a turning point was a max or min... which is found by letting the 1st derivative = 0 and solving... 

the 2nd derivative can be used to test the nature of the point.

amistre64 · Answer

yeah, i spose turning point is a bit ambiguous, at least to me :/