Question

F(x) =-2/3x^3+2x^2-x

Answer 1

f ( x ) = - 2 / 3 * x ^ 3 + 2 * x ^ 2 - x ;

f ' ( x ) = ( - 2 / 3 * x ^ 3 + 2 * x ^ 2 - x ) ' = - 2 / 3 * 3 * x ^ ( 3 - 1) + 2 * 2 * x ^ ( 2 - 1 ) - 1 = - 2 * x ^ 2 + 4 * x - 1 ;

Answer 2

It looks like you've provided a mathematical function:

F(x) = -2/3x^3 + 2x^2 - x

This is a polynomial function with a degree of 3, as indicated by the highest power of x, which is x^3.

If you have any specific questions or if you'd like to perform operations or calculations with this function, please let me know, and I'd be happy to assist you further.