Horizontal Tangent Find a function $f$ such that the graph of $f$ has a horizontal tangent at $(2,0)$ and $f^{\prime \prime}(x)=2 x$

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Campbell University

Harvey Mudd College

Baylor University

Boston College

question defict they are giving us after the crime equals to Lex and yeah, crime, who is zero. And they want us to define the function. So first I have to take the into grow Would beat wall the ex We've been in too. It's purple. Uh, add one to my act Ex bear multiplied by. We'll see. So I had a crime of eggs equal x weird class. And then we have to find out what my my sea is. So I'm gonna plug in two for X and zero the zero he won't two squares or their course see would have to equal negative for So my function for prime of X equals X square minus were. And now I want to find my function. So I'm gonna take my derivative are my integral Really? Next week was the integral X squared minus four. Yeah. So X square is gonna be at one excuse. Multiply the coefficient of reciprocal minus four. We're gonna have an excellent and plus c. And now gonna be too. Zero 1/3 Q minus eight. A scene. So I get to see the equal 16. 30. So my equation for effort Eggs? No one there. Thanks. Q Minus war acts months, baby. Plus 16. Okay. Yeah,

University of Houston