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

Function defined as:

y = The integral from 0 to x^{2}of 1 / (1 - Sqrt(t) + t)

There exists a point where the slope of the tangeant is = -2. Find the x coordinate at this point.

2. Relevant equations

Fundemental Theorem of Calculus

3. The attempt at a solution

If I use FTC and replace t with x^{2}. Then I get two equations because sqrt(x^{2}) is +/- x. I use those to create two seperate equations.

y = 2x and y = 2x/1+2x

These should be 2 equations for the tangeant line but I am unsure what to do next.

This was on my exam yesterday and I tried some things, none of which seemed right. I know I lost mark just would like to know how many. :)

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# Homework Help: Find the X coordinate with slope of -2

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