If g(u) = (u+1)/(4u-1), how do you find the derivative, g'(u), using the definition of derivative? I know that the answer is meant to be "g'(u) = -(5)/((4u-1)^2)", but I don't know how to get this answer using the definition of derivative. If you could write out the steps, as well as explain each one to me, that would be great. Thanks

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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If g(u) = (u+1)/(4u-1), how do you find the derivative, g'(u), using the definition of derivative? I know that the answer is meant to be "g'(u) = -(5)/((4u-1)^2)", but I don't know how to get this answer using the definition of derivative. If you could write out the steps, as well as explain each one to me, that would be great.

Thanks

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,