💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Like

Report

Numerade Educator

Like

Report

Problem 31 Easy Difficulty

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

$ y = \frac {x^2 - 1}{x^2 + x + 1}, (1,0) $

Answer

$y=\frac{2}{3} x-\frac{2}{3}$

More Answers

Discussion

You must be signed in to discuss.

Video Transcript

Hey, it's from someone. You rain here, so we have. Why is equal to X square minus one all over X square plus X plus one. We're gonna use the quotient role to find the derivative when we get X square minus one The derivative X square plus X plus one minus X square minus one and the derivative of X square plus X plus one This is all over X square plus X plus one square. When we simplify this, we get X square. It was for X plus one while over at square, less X plus one square. So to find a slope of the tangent line at one comma zero we're gonna plug in X is equal to one into our derivative when we get 2/3. So we're gonna create a line Why is equal to 2/3 X minus one plus zero? This becomes equal to two birds. X minus 2/3