Question

basic calculus question

Answer 1

http://i.imgur.com/s8twTzj.png

Answer 2

\[h'=f'g+g'f\]
\[g'(0)=f'(0)g(0)+g'(0)f(0)\]

Answer 3

damn typo there \[g'(0)=f'(0)g(0)+g'(0)f(0)\]

Answer 4

all these are numbers known to you
you know \(f(0)\) and \(g(0)\) from the graph, and since it is piecwise linear, \(f'(0)\) is the slope of \(f\) at \(0\) and similarly \(g'(0)\) is the slope of \(g\) at \(0\)

Answer 5

cool, thanks

Answer 6

How do you get the slope from the graph? I'm having problems with that since I'm not given any kind of equation