Question

Given the following polynomial find the maximum possible number of turning points

F(x) = x^6 + x^10 + x^9 + x^10

Answer 1

`f'(x)=6x^5+10x^9+9x^8+10x^9=20x^9+9x^8+6x^5`

The degree of the derivative is 9, so the maximum possible number of turning points is 9.