Calc Question: Finding Secant Slope?

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    Secant Slope
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The discussion focuses on a misunderstanding of the formula for finding the slope of a secant line. The original poster incorrectly noted the formula as \frac{-1}{(x)(x+h)} and sought clarification. The correct derivative for f(x)=\sec x is \sec{x}\tan{x}. The point p(1,\frac{1}{2}) is mentioned in relation to the curve y=\frac{x}{1+x}, and the correct slope of the secant line PQ at x=0.5 is confirmed to be approximately 0.33333. The conversation highlights the importance of using the correct formulas in calculus to obtain accurate results.
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I wrote down the notes from class, but when I tried to do the homework, I am not even close to the right answers. The formula I wrote down is:
\frac{-1}{(x)(x+h)}
Apparently that's wrong. Anyone know what it's supposed to be?
 
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Do you mean the derivative of f(x)=\sec x? In that case it's \sec{x}\tan{x}.
 
The point \mbox(p(1,\frac{1}{2})) lies on the curve y=\frac{x}{1+x}.
If Q is the point (x,\frac{x}{(1+x)}), use your calculator to find the slope of the secant line PQ for the following value of x: 0.5

I get -2, but it's really .33333.
 
The slope is simply
a=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}

and i get 1/3...

Daniel.
 
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