I'm a bit lost here. I find Derivatives and Limits, while tedious, understandable, HOWEVER, when it comes to mixing in tangent lines and parabolas etc I get lost. I know it's because it has been over 2 years since taking Trig and Pre Calc, but a step by step process and explanation would be much appreciated!!

Ex.) Find an equation of the tangent line to the given curve at he specified point.

Given: y= (x^2-1) / (x^2+x+1)
And Point (1,0)

Thank you in advance!!

Question

I'm a bit lost here. I find Derivatives and Limits, while tedious, understandable, HOWEVER, when it comes to mixing in tangent lines and parabolas etc I get lost. I know it's because it has been over 2 years since taking Trig and Pre Calc, but a step by step process and explanation would be much appreciated!!

Ex.) Find an equation of the tangent line to the given curve at he specified point.

Given: y= (x^2-1) / (x^2+x+1)
And Point (1,0)

Thank you in advance!!

anonymous · Answer

the tangent line of some function is the secant line PQ
with limit Q->P
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anonymous · Answer

the points P and Q have a difference delta x
$$P=\{x_0, f(x_0)\}$$$$Q=\{x_0+ \Delta x, f(x_0+ \Delta x) \}$$

anonymous · Answer

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