Question

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.

Answer 1

Are you taught differentiation? If yes, solve the equation \(\dfrac{dT(x)}{dx}=0\) and the solution is the turning point.