Finding the slope of the tangent line


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Posted by Ronnie Dobbs on October 16, 2002 at 15:55:42:

Find the slope of the tangent line to the curve y = x^3 at the point (-1, -1).

So we're using...

lim x-> -1

[ f(x) - f(a) ] / x - a

lim x-> -1

[x^3 - f(-1)] / x - (-1) = [x^3 - (-1)] / x - (-1)

= lim x->-1 [x^3 + 1] / x + 1

This is where I'm stuck...can anyone shed some light on what my next step(s) is? Thanks.




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