(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

(i) Using Definition 1

m=lim_{x-->a}[tex]\frac{f(x)-f(a)}{x-a}[/tex]

(i) Using Equation 2

m=lim_{h-->0}[tex]\frac{f(a+h)-f(a)}{h}[/tex]

2. Relevant equations

3. The attempt at a solution

For the first one, I got as far as lim_{x-->-1}x^{3}+1/x+1 and was stuck. I thought it was undefined. Then I plugged it into a limit calculator online in desperation, and found that the answer was 3. But for equation 2 I got to the end and go undefined again, plugged it into the limit calculator seeing that it said it was undefined too. I just wanna know how you would go about completing the first one, and I am just a little confused at the point of this exercise. Thanks for any help you guys can give me.

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# Homework Help: Slope of the tangent line

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