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morrowcosom
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Homework Statement
We are calculating the slope of the function f(x) = 1/x at x = 1.
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So far, so good.
For the function f(x) = 1/x, we now know:
f(1) = 1
f(1+h) = 1/(1 + h)
Now evaluate the difference quotient, simplifying as much as possible and cancelling h in the denominator:
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f(1+h) - f(1)=
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Homework Equations
The Attempt at a Solution
{1/(1+h)-1}/h
{1/(h)}/h
{(1/h)}/h
{(1/h^2)}/h
{h(1/h)}/h
=1/h
I am doing independent study using a computer program, and the program says I am wrong. I looked at an example of these types of problems involving inverses on the website and could not for the life of me understand what I am supposed to do. What in the heck do I do to this problem to solve it?