In your lab, a substances temperature has been observed to follow the function T(x)=(x-2)^3+8. The turning point of the graph is where the substance changes from a solid to a liquid. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function.
To find the turning points, find the values of x where the derivative is 0. T(x)=(x-2)^3+8 dy/dx=3(x-2)^2 equating the derivative to 0 we get 3(x-2)^2=0 (x-2)^2=0 x=2
