Derivatives Affecting Shape of the Graph

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
loadsy
Messages
57
Reaction score
0
I have the following question:

h(x) = (x^2-1)^3

a) Find the intervals of increase or decrease
b) Find the local maximum and minimum values
c) Find the intervals of concavity and the inflection points
d) Use the informatin from parts (a)-(c) to sketch the graph

Now I figure a good way of starting this question is just to graph it to begin with anyways. However, the first step really is to find the derivative (f') of this function if I am not mistaken. However, can anyone explain to me how you would go about finding the intervals of increase or decrease for this function. From there, I can figure out the rest. That's all, thanks guys.
 
Physics news on Phys.org