A table of values for f,g,f′, and g′ are given in the table below:
x f(x) g(x) f′(x) g′(x)
5 0 -4 -9 5
0 5 0 -6 9
-4 5 5 9 -5
If h(x)=f(g(x)), find h′(5),
If H(x)=g(f(x)), find H′(0)
x f(x) g(x) f′(x) g′(x)
5 0 -4 -9 5
0 5 0 -6 9
-4 5 5 9 -5
If h(x)=f(g(x)), find h′(5),
If H(x)=g(f(x)), find H′(0)