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Page generated at 12/17/2013 at 05:39am EST

Entered Answer Preview Result 0.1248 correct 0.1249 correct 0.125 correct 0.1251 correct 0.124 incorrect We B WorK MAA Mathematical Association of America 0.1248 0.1249 0.125 0.1251 0.124 f(x) = f(10+h) - f(10)/h h = .1 h = .01 h = -.01 h = -.1 f(x) x = 10 1/n n n n =

Explanation / Answer

f(x) = sqrt(x + 6) and you are told that the derivative of f(x) at x = 10 is 1/n. This means that:

f ' (10) = 1/n.

From your past work with difference quotient, you know that f ' (10) is .125 since h = .01 gives ,1249 and h = -.01 gives .1250. This means that you have:

f ' (10) = 1/n = .125

1 = .125n

1/.125 = n

8 = n

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