Derivatives and Shape of Graph

Question

Let h(t)=(2t^2)/(t^2+3). Fill in the values or intervals below.

interval(s) on which h is increasing:

interval(s) on which h is decreasing:

point(s) at which h achieves a local maximum:

point(s) at which h achieves a local minimum:

interval(s) on which h concaves up:

interval(s) on which h concaves down:

Answer 1

I answered your question on the problem p(z) = 5z⁴ - 10z² + 15. Follow the same procedure here. Watch for places the first or second derivatives DNE since these are also critical points.

If there is a specific issue or question that is preventing you from doing the problem, please let us know and we'll be happy to help.