Question

f(x)=2x^3-3x^2+1
i graphed the function and the derivative.

a)use the graph to determine the exact point(s) where f has a horizontal tangent line.
b)give the values of f'(x) at each of the points fount in part a

Answer 1

the tangent is horizontal when the slope is 0, thus at the peaks and troughs

Answer 2

if there is a horizontal tangent then the slope of the tangent is 0, thus f'(x)=0

Answer 3

right. I got that there is a HA at (0,1) and (1,0)?