Suppose that the scatterplot shows the response time from websites when computers communicate through the Internet. Paul use the
equation y=1/50x+15 to model the data in the scatterplot. According to the linear model, what is the predicted response time for a computer 2000 Miles away
*1/50 x is supposed to represent a fraction with the variable x*
*1/50 x is supposed to represent a fraction with the variable x*
1 answer:
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Ok first we can split it in two : 
and 
.
The derivative of is 3.
For the first part, we use the chain rule :![[f(g(x))]'=g'(x)f'(g(x))](https://tex.z-dn.net/?f=%5Bf%28g%28x%29%29%5D%27%3Dg%27%28x%29f%27%28g%28x%29%29)
hence 
(since the derivative of the exponential is itself) hence 
The derivative of
For the first part, we use the chain rule :