Graph of `y=f(x) and y=g(x)` is given in the following figure. If `h(x)= f(g(x))`, then find the value of `h'(2)`.

Explanation

`" "h'(2)=f'(g(2))g'(2)`
`" "g'(2)` is the slope of the line passing through the points `(0, 0) and (3, 6)`
`therefore " "g'(2)=2`
Also `" "g(2)=4`
`therefore" "h'(2)= f'(4)xx2`
Now `f'(4)` is the slope of the line passing through the pointps `(3, 0) and (5, 6)`
`therefore" "f'(4)=3`
`therefore " "h'(2)= 3xx2=6`