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

@Luigi0210

Answer 2

@dan815

Answer 3

@YanaSidlinskiy

Answer 4

I need this explained

Answer 5

okay

Answer 6

Turning point is where T(x) has a maximum, a minimum or a point of inflection.
Find T'(x), equate it to zero and solve for x.

Answer 7

lol

Answer 8

T(x) = (x + 5)^3 + 7
What is the derivative of T(x) ?

Answer 9

-5

Answer 10

Yes, x = -5 is the turning point and the substance changes from a liquid to a solid when x = -5

Answer 11

oh okay thank you. @aum