Graphs of y= f(x) and y= g(x) are at link bellow.
Find (a) (fg)’ |_x=2
Graphs of y= f(x) and y= g(x) can be found at
Find: (a) (fg)’ |_x=2
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(a) To evaluate the derivative `(fg)'` at x=2, we need to use the product rule for derivatives.
This means that
` ` `=(f'g+fg'|_2`
From the graph, we see that `f'(2)=1/2` , `f(2)=3` , `g'(2)=1/2` and `g(2)=0` .
This means that `(fg)'|_2=1/2 cdot 0+3 cdot 1/2 = 3/2` .