Confusing Derivative Problem

I am usually good at solving problems from the book, but once my TA writes something I am hell of confused.


I missed only a day of class due to being sick finished all the homework questions except this one.



Any ideas on what I should do? I am reallllllllllllllllllllllllllly bad with anything that has to do with a graph, so I don't know where to even start.

Please explain your thought process.

 

a. If you want h'(x) then you need to derive.



Finding proper values of F(X) and G(X) are trivial. Finding values of F'(X) are not trivial. Two ways to do, here is conceptually harder but computationally easier way: f'(n) for a line is the slope at point (n,y). Here is the easy to understand but computationally long way: Generate a piecewise function and derive each component and find values of f'(x) that way. Derivation will lead to a piecewise of constants... so best not to do it this way.

b. See here:

After derivation you just you solve k'(3) by treating x as 3. Should be simple.

c. See above. Same problem just less generalized. Nothing new really.

 

All this is true. If you need a fully written solution pm me I'll write it all out and explain it.