Answer:
Step-by-step explanation:
a) x = 1.786 & -1.120
Explanation:
Turning points are points where the derivative equals zero. Solving the derivative for the values of X will give the answer to part a.
The derivative of this equation [tex]x^3 =x^2-6x[/t[tex] is [tex]3x^2+2x-6[/tex].
Solving the equation [tex]3x^2+2x-6=0[/tex] using the quadratic formula we get 1.786 & -1.120
b) x = -3, x=0 and x=2
Explanation:
The solution to this equation are the points where the graph intersects with the x axis. Looking at the graph we can see that these points are -3 , 0 and 2
