i cant seem to understand this concept, its very confusing, can anyone give me any tips?
4. Suppose that the function has a continuous second derivative for all , and that , , and . Let be a function whose derivative is given by for all .
a. Write an equation of the line tangent to the graph of the at the point where
b. Is there sufficient information to determine whether or not the graph of has a point of inflection when ? Explain your answer.
c. Given that , write an equation of the line tangent to the graph of at the point where
d. Show that . Does have the local maximum at ? Justify your answer.
Some help would very much be appreciated.