Question

The number of find-it- now gps devices is a function of the amount of advertising and is modeled by this function. X=10700-700/x. A. Find the differing of the function. B compute n(5). Interpret the result.

Answer 1

The derivative of the function is 700x + 10700/x². When the amount of advertising is 5, there are 10560 find-it-now GPS devices.

Step-by-step explanation:

The given function is X = 10700 - 700/X.

To find the derivative of the function, we can use the quotient rule. Let's differentiate the function:

f(x) = 10700 - 700/x

So, the derivative of the function is f'(x) = 700x + 10700/x²

For part B, we need to compute n(5). Since the function represents the number of find-it-now GPS devices, plugging in 5 for x will give us the number of devices when the amount of advertising is 5. So, we substitute x = 5 into the function:

X = 10700 - 700/5

X = 10700 - 140

X = 10560

So, when the amount of advertising is 5, there are 10560 find-it-now GPS devices.