1.

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).

Answer»

Solution :`""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`


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