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ID: 2843859 • Letter: #
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Page generated at 12/17/2013 at 05:36am EST
Entered Answer Preview Result -0.0408 correct -0.04008 correct -0.0399 correct -0.0392 correct -0.0408 incorrect WeBWorK MAA Mathematical Association of America -0.0408 -0.04008 -0.0399 -0.0392 -0.0408 f(x) = 1/x-4 f(-1+h) - f(-1)/h h = .1 h = .01 h = -.01 h = -.1 f(x) x = -1 -1/n2 n n n =Explanation / Answer
f(x) = 1/(x - 4) and you are told that the derivative of f(x) at x = -1 is -1/n^2. This means that f ' (-1) = -1/n^2
From your work with the limit definition in the last part as h gets closer and closer to 0, you should be getting closer and closer to -.04 (h = .01 gives -.04008 and h = -.01 gives -.0392). This means that:
f ' (-1) = -1/n^2 = -.04
-1 = -.04n^2
1/.04 = n^2
+/-sqrt(1/.04) = n
+/-5 = n
n could be either n = 5 or n = -5 to give you f ' (-1) = -.04.
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