# 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 http://s19.postimage.org/mby7vqss3/graph_for_calc_hw_26_9.png . Find: (a)...

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

http://s19.postimage.org/mby7vqss3/graph_for_calc_hw_26_9.png .

Find: (a) (fg)’ |_x=2

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Expert Answers

lfryerda | Certified Educator

If you have more than one question, please create separate posts.

(a) To evaluate the derivative `(fg)'` at x=2, we need to use the product rule for derivatives.

This means that

`(fg)'|_2`

` ` `=(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` . **