Question

find all the critical points and then use the first derivative test to determine local maxima and minima check your answer by graphing f(x) = 3x^4 - 4x^3 + 6

Answer 1

y intercepts = set x to zero
x intercepts = set y to zero

Take the derivative and set it equal to zero to find the critical points and take that point and plug it into the second derivative.

If the second derivative = negative, then it is a max and if it is positive, then it is a min.

Answer 2

Is this correct

Answer 3

That looks correct, you just didn't plug the values you came up with at each step into the original equation to get the y coordinate, but the graph looks good and so does the work aside from that.

Answer 4

Thanks!!!